Problem 56338. Pressure for a given Above Sea Level Altitude

Created by Meg Noah

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>P(h)=P_{surface} \\left[ 1 + \\frac{L}{T_{surface}} \\left( h-h_0 \\right) \\right]^{\\left( \\frac{-g_0M_{air}}{RL} \\right)}</w:t></w:r></w:customXml><w:r><w:t> with </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>h\\in h\\le h_{stratosphereBase}</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>where the observed surface values are:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>P_{surface}=</w:t></w:r></w:customXml><w:r><w:t>static pressure at base of atmosphere (sea level if h0 = 0) in mb</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>T_{surface}=</w:t></w:r></w:customXml><w:r><w:t>temperatuer at base of atmosphere in K</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>h=</w:t></w:r></w:customXml><w:r><w:t>altitude above the base of atmosphere in m</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>h_0=</w:t></w:r></w:customXml><w:r><w:t>base of atmosphere (sea level if h0=0) in m</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>and the constants are:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>M_{air}=</w:t></w:r></w:customXml><w:r><w:t>molar mass of Earth’s air = 0.0289644 [kg/mol]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>L=</w:t></w:r></w:customXml><w:r><w:t>standard temperature lapse rate [K/m] = -0.0065 [K/m]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>R=</w:t></w:r></w:customXml><w:r><w:t>Rydberg constant = 8.31432 N m/mol K </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>g_0=</w:t></w:r></w:customXml><w:r><w:t>9.80665 m/s^2 is the acceleration due to gravity at the surface of Earth</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>and for altitudes above the tropopause (the base of the stratosphere) up to about 20,000 m):</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>P=P_{stratosphereBase}  \\text{  exp} {\\left( \\frac{-g_0M_{air}(h-h_{stratosphereBase})}{RT_{stratosphereBase}} \\right)}</w:t></w:r></w:customXml><w:r><w:t> with </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>h\\in h&gt; h_{stratosphereBase}&lt;h&lt;20000 m</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>where on average:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>h_{stratosphereBase} </w:t></w:r></w:customXml><w:r><w:t> = 11 km</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>P_{stratosphereBase} </w:t></w:r></w:customXml><w:r><w:t> = 226.32 mb</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>T_{stratosphereBase} = T_{surface} - 71.5</w:t></w:r></w:customXml><w:r><w:t>K</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function that returns the pressure in millibars as a function of altitude in meters.  The surface observation variables should be scalars.  Assume the base altitude and surface observations are made at sea level (h0=0).  The input altitude above sea level can be a vector.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 651.112px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 325.55px; transform-origin: 407px 325.556px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">For altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from:</span></span></div><div style="block-size: 51.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 25.8px; text-align: left; transform-origin: 384px 25.8px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-17px"><img src="data:image/png;base64,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" width="270" height="51.5" style="width: 270px; height: 51.5px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> with </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="131.5" height="20" style="width: 131.5px; height: 20px;"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">where the observed surface values are:</span></span></div><ul style="block-size: 85.5375px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 42.7625px; transform-origin: 391px 42.7687px; margin-top: 10px; margin-bottom: 20px; "><li style="block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="56" height="20" style="width: 56px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">static pressure at base of atmosphere (sea level if h0 = 0) in mb</span></span></li><li style="block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="55.5" height="20" style="width: 55.5px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">temperatuer at base of atmosphere in K</span></span></li><li style="block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="25" height="18" style="width: 25px; height: 18px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">altitude above the base of atmosphere in m</span></span></li><li style="block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="30" height="20" style="width: 30px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">base of atmosphere (sea level if h0=0) in m</span></span></li></ul><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">and the constants are:</span></span></div><ul style="block-size: 84.275px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 42.1375px; transform-origin: 391px 42.1375px; margin-top: 10px; margin-bottom: 20px; "><li style="block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAAoCAYAAABgi917AAAAAXNSR0IArs4c6QAABPZJREFUaEPtmWnIplMYx3+D7Fu2QkSITLZR44NICjO2LGM3yDZlZAzJTnZDSMgSHzBi7FnLMsZEZnyR+WIr+05kXwf96jp1enie++S5n/d+Hu7z5X3f+z3Ldf7nuv7nf11nHG2rFYFxtc7WTkYLaM1O0ALaAlozAjVP13poC2jNCNQ8XS8PXQY4ANgd2BNYKda+GZgJ/FRgyybAncB20fcr4D7gRuDVgvEj16Uk5JcDrgGmxe4eB6YCX1fs1nFXACdm/Rx3F/DnyCFVaHAJoKsAtwJTYs5ngEOBLyrWOBi4JfPshcAhwDuFto1ktxJAtwTuBwxfm6F6EPBGjx2nUF8fWPtfUMVIgqnRJYAeBpwNfAnsAHwH7Aos6LLrFOrrBS0cFf1OCeoYWbBKDK8CdGngcmB54FvgtJhUQJ/usoChfiFwOnA8MCkOYTLwYolRo9ynCtB14hK5J27122Ozh8f3zr2nUH8AmA88FCE/D9DTPx5lsEpsrwJ0+wBuf2BjQGBtZwGXdSyQQn3dUAT7ATdFH1XCGcCvJUaNcp8qQNWbhrdyZ1PghdisYJ4LLM42n0L9OOCloArH27p5dJPYab/U1E/72wXdC1CF/A3AhwGe4XwvsAXQKe5TqBviVwFrhWfvBLwVkmtRP5YPYOyYA6pHzgHOAx7JQn5bIBf3+a2u+P8MkCqeDA2q5DoW+GYAoAzdlL08dG/gYuBA4HVg9fC63YD8kjHUVQJHA3Njh4b61fG7nnDJfzk7yk+1G6BLAheFmE/epXS6Nrwtcccfkas/FqD+Hl4pVci7tl4Sa+g8rF+DugG6RgClbkzetWzw4wmhK/cF9gE2DJA/DWOSGpAaSrKqkj0YBR7mjExplIwb8z7dABWMR4EjOwR8TuSzMwXwVGb5LkD620rT9DiAfjanHRZapJK7a6KPMb2UvFyOiCLIexkSfkvi3s+XAucDhrrNAzJNlS5sw5xujhmgKwDXB0iG2I8ZoBZFkrh/Lnjyo+z/eWXKnP9/kW5WXUrjowhsaCVPS2OUQ4p7wbKcl4e6ffLKVEm6uUQUXPYAPgd+Blz/lSgZKt22AbaOA9ae34Ct4tsE4EHgzcjeLGCrTEqK3/1QUNexnRy6VKSIGv5P2dBmIe4F0tD+JZvZCr/hf2Z8q6qbrhnK4BPgyii+OF6ayA8r0czJETlmZx7EBcBe8dOXhc2jRmt/52yk5YB66lbXDWuzJL1QYW+IP5vd4F4Obvrd+LYq4C2sl/lUkjfllOCbYSn4U1s5dKry7FRAz9IWAbU6lQrRiZNVFq5hwcWWFIc2vx3Jh+VF57Mq1tiLQFUuP4hTds2TooByTOT9rpP49/s42B+ybyYV6trE16kKphpRATzcJIhVHDoIEPM51a3ys7m9MkjgbBMDmFlZaCdOfiLqq4liUmprSuzh6OFD0Zrw0KQUzMBuCxTkXxMI36ry0LaGqt7trFal1NYSoQWZoWlNAJr0X0pJtcFLxSKM4W5oe+l8EDf2zsHrprnvA74imNpuEFo5cflQgNoEoPKmr6g+pwiMKexqwI4B1vPAa8DLwB1xyfiWv2JQxUZxWSrLfGbJlUbjoDYBaJJLVqdUD1bzBe+6kD7nAHKmNOD/fC1QW1r9V18a5j6xDF24e5pNANq4Fw3SgBbQmtFtAW0BrRmBmqdrPbQFtGYEap6u9dCaAf0LZCIVOA3+wlEAAAAASUVORK5CYII=" width="42" height="20" style="width: 42px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">molar mass of Earth’s air = 0.0289644 [kg/mol]</span></span></li><li style="block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="27.5" height="18" style="width: 27.5px; height: 18px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">standard temperature lapse rate [K/m] = -0.0065 [K/m]</span></span></li><li style="block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="27.5" height="18" style="width: 27.5px; height: 18px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Rydberg constant = 8.31432 N m/mol K </span></span></li><li style="block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="30" height="20" style="width: 30px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">9.80665 m/s^2 is the acceleration due to gravity at the surface of Earth</span></span></li></ul><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">and for altitudes above the tropopause (the base of the stratosphere) up to about 20,000 m):</span></span></div><div style="block-size: 40.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 20.3px; text-align: left; transform-origin: 384px 20.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-17px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAnAAAABRCAYAAABSfJsZAAAAAXNSR0IArs4c6QAAIABJREFUeF7t3Qn4bVFZFvDPjNQiJVGzFAdSC8UKAgeSUqJSoUFTMxsEjEoDpYKksExLJcG5IiFBSXAoScOIHKgIEycsB0BTSDGcQMzKCix9fro+Xe6799n7nLPP/K3nuc+99//fe+213j2sd73f9EZRrRAoBAqBQqAQKAQKgULgohB4o4sabQ22ECgECoFCoBAoBAqBQiCKwNVDUAgUAoVAIVAIFAKFwIUhUATuwm5YDbcQKAQKgZUQeM+I+LmIeNlK/VU3hcAtIHCviPi1EfHdp55sEbhT34G6fiFQCBQCx0XAd/9DIuIdI+ILGok77gjqaoXA5SLwJhHxqIh4aUQ8PyJ+/lRTKQJ3KuTruoVAIVAIHB8B3/w/GRH3iIjPKfJ2/BtQV7wKBChwj46Il5+SxBWBu4pnqSZRCBQChcAiBH5vW3g+ISJ+fNEZEW8WEW8cEf9z4fHneNg1zOEccb3lMb11RPz9iHjSqdwQisDd8uNXcy8E1kfgfSLiUyLisefgI7LC9JhLPjwiPjgiHhoRv7H1+YUR8Vci4n8vuMa7RsQ/jYj3bsf+VET8s4h4SkT85wXnr3WIBYfJ9KkR8YINnf6uiHhQRPzOiPDv+0TEH4uIf7nWQI7QzzXM4Qgw1SX2ROD3RcRfaJui14309WER4c9fi4j/tue17ji9CNzaiFZ/hcDtIvD7I+LzIoK68++vDAYKDpPjX2zz+lcR8WcjYuyj3U/deZ/ZfGby58571gl8Zz4mIu6/kHj+hoh4Yhs3ksns+n0Xdk+vYQ4XBvnNDdcGz/v9XRHxRSOzZ2r96Ij44+1d+qE1ESoCtyaa1VchcLsI2Ik+OSIed4XkzV19i4j4J2037f/fEBEfFRE/OXPLP7IpXqncfUtE/KmIeOWRH5XfEhHPbIvN1y+4NpPp342Iv9HUw78cEf9jwXnndMg1zOGc8KyxjCPwByPir0fEn4uIH50gcRS4920bwKWuC7N4F4GbhagOKAQKgRkEhNU/vZnnvuwEytIxbhBz4j+PCOZQbYkqlabTd4gIBErbxvS65rz+aFPe/nREvHpBx7+pEbeHRMRfberjgtPO6pBrmMNZAVqDGUXgtzZFnXvCcyYwogZT6t5uTRJXBK6eyEKgENgHgd/cSMn3RsQnX3FUI+LzhIh4TUQ8sKlRfygiXjwBXppORXsysz6sHXcKMvTrmjmUuYcS8H8W3PAkrG8bER8UEd+04JxzO+Qa5nBumNZ47kTgTSPisyLi/0bE4yPi9RMgeZeo+CJXfUscv1crArcXfHVyIXDTCCAEnxYR77LmrvIMEU0C9Osj4meamdgwEbgpcyTT6adGxCc2J+cPbKTvFGQoFQJBCPz4ljSE9Usj4t9FxFLVbkm/xzzmGuZwTLzqWrsjIKBJoNOcWwU/4adFxN+JiL2tFUXgdr9hdWYhcOsIJEl55JX6veX9TQL05S3q9EvaL/5MM50Mn4M0nX5VRLwwIv5FM6GeigylEiUyeEkkaRJWixLCt0lVONd34BrmcK7Y1rjuRICLAh9gEacCGqYav0wq/MMjwvdz07GzOBeBm4WoDigECoERBJKkfOMZmE75mPkYUsR+ICL+V0t/8dUR4Y9UHxzwp0wbczdY7jRRo3+iqY2InPY3I+IzBien6TR9XT40Iv5xO+ZUZEiAiajg91toCk3C+v4RkSTVWoEIijCWUuQ720K01wI0B/wev7+GOewx/Tr1yAj4RrwoIihsNm2bWppSX9vSj1D1d2pF4HaCrU4qBG4agTSdPvjE6SV+TSNunIe/OSI+PiJeERG+a9QjfinZlpKXsRurL+RQ+o/f3j7UjkPe/lZE/L/upF6VNCapOJyvTSl2h36YmBL5J86pAzkOi9G/jogfa+coGURlNX4+f4isMlynIqRL8LqGOSyZZx1zHgjIf/l1EfGxE6r8cJQ2QXJDLj1+dJZF4M7j5tcoCoFLQoCiQ4WShfzzTxh1mh9BFQIQp37nu5b/k/Qf/zAifqSRNcrjV0aEQvDDiNJUJZlMkce3aR9zStZ/2YJArf0swEJ6l6W53OS6oxqKurXAMPfcrZFRY4MHMnvOBO4a5rD2c1D9HQ4BG7uvaFUZqPVz7c1b1P5vaxuj/zp3wtjvi8DtglqdUwjcLgLC4f9BS6dBkdnpw7MCfEmsEIkvbkkymU6z5QK+JN3HpuHkh/lvN/8xARvI6++JiD6Zbx916tpyPaUKZKzI0J+PiP++wty37WIbAtcnLDZn+eqoC4Ix4Jt4qHTwlxqJ3XY8hz7+GuZwaIyq/3UR2JbAuTpV33dBQIPN0M9vO6QicNsiVscXAreNwB9oTvnbfHRSDdsHuaEJtCdSw9QcvQP70oS7U2PjnPz3IuIjWvj/3Zuq9ocHEZoUQObSR3RlqphOP7t1zNQqYnfrj/Q+oLVztzGhMo0+OyIe0BRHC5Pgh0w+Co+v2TKitid9u04HmZRYeEk7xByWXLeOuV0E0gfOd4ASt6TJU6h6A3/NnZJ7F4FbAnMdUwgUAhBI9U1NT/VB5X5b0g5N4Ia+Ze/cQvSNU4Z0JKr3U3vL5oAv+AExEXAgyeZ/GkwmM/kzjaZ6JpWIcmH+n+re/2/+LF/bSNzPtZqpaWrU7aaUI0sw3OeYbYIYZJXnyyPog+8b8+nL2sX7ygbbRNQem8AdYg774H8p57q/XAO8P6oGqN3Jv9TzXW0zAkngtvW1Vd5Objj5GbdW4YrA1WNZCBQCSxF4rxbVqRA7YrR3IsqlFx45LsmkBLm9KU/tQWkvqDWUojRnZheZeNjiZA4/23a/FEVkpU9Y+1aNmPlZqmeZtPPjGsn5kFbn0KKH1HH813qFcF8zbo7d7j5rzWYk7BIIl6YRsR5IMJpKlyLdFpdUDRMPOe3GAjiWjOXQx1zDHA6N0ab+4ed9+kcRIYKaP+epGiXVs6acm3+LKP+2iPAdEkjF/1YeRhumUzebVG4GqdQvHU9uNm2YpkpxTfZVBG4pzHVcIXDbCNidi2RkCjylmtTfBcoOE4Qghkc1xYAax+TJjIGU/VR3QkanMgkqLv2t7XdJTH5iENbPz+25rRh1n7AXBpL0apLdZoQq5SpbqkD+L9psjVqiimJTCplmt0kCmvMzvk2JfPt6r/LFiTyFSbbEQ1mwc3kGhm/lNczhlF+aVFklpV0a9HLI8WY6GM+eKGrPsE3ap7Q0Pufih4lkUuH45Kq8srT131XR3VOluEb7KwK3FOY6rhC4bQTyQwqFc8nM7/vFTPpJjYxRBF8VEf+hRY0O/c2SyFgA+ozpuWhR83piR72zK3bsD3W3388yma8ff/ogF95QBTpF+az+ac35MR0jf/LijbXe1ElNRI77tlZk7yHfpGPMQa4vZmn3vTfNrzGvQ/a9ZHxZP/an26bjFEE3/Thz0/DDAz+xfBYp0d7TnXOpLQFl5pgMqBLQhVhu+0ykX7HE3zaifTDWxksXgVvh7lUXhcANIJDO6+diOvPt4vgr3YWP3jMX3IPM1USdk5CW+TRbkrIkW2miZZ4ZHkuZSBPmv227bibZbL0KxDRyivJZQzgsElRDCqXI0rGW95jP29DHcayywds3/0GE+VzaoeeAUPBtlEJnbfPiIfteen/S3P6MpvZuS0aWXmfpcRlNPkzZk++r9/7RJyZwNg1ShzChSmy+baNomwdf3G18i38x4WW1QqAQKAQ2IdAv3nKvLSnHdGhEUyl4SPOLsfPlWL9p95qL+3AxMNbc0WduM4ELfP2YKofRj+mwjJylWaefby6C+lji7C8h8QMjwlyYLBWbf49W7YAPmgXiPhHxu5u/j/G8oVWb8LP7NtPL9zezErMxM3KvtGXEG5PvmJmmD1AYM/m+dYtOlbzZM/AtLTpV+aCMUD30PZ/rf405UCn5Qt61Ve5A8l/dfCOZwZnsHCOVzguaD5Z74J7fu20o3E8bASb6pzRFBn6eMUEwxkkxul9zSVAhZKxv7xkCZTPBpMmv0v/fqZGrPoXPPZoPpmfHMcaAWH93RHxAe57u2caNKD60PWd8Kt3LVKuN0Zg919/enOvNWWJnRKk3D7oGBVzAg4AglQUEDFHCpZmZezanzs93uE8H0/tjph+rdwZuNmQ5/rl3SUDG1D32vmebG1v/LApEEJWObG5jPs0++ud2TPmefO6LwM19Eur3hUAhkOZTJOAc/GLckawpyCesbyJBKSSUsWGQRZK0MRWxJ3eS3lLdEKWxY39HS+bLH4fTf38dztV8BfnEaHNpTCzs0o/8aEsCamF3PgLQk8NUHB7TFuFcpBHXP9JMN3bv7x4RPznhEI14US0l5x0uNH2AwpjJt/d/k9LDgm3x/54zej32nUOavvn3MZu7F6Iwqa0IzJSvJBPa57bfI/yc/znaewaRHv6Qgl4ooMotIeSSQStHlurRVN/Iub71K98hsif4xnuY72ISHaQTofG3IAQ+oK6R5BvJ+4+N3Ht+qGzITPaTGzUpZPL5c02O+f70lTyUgxLYw7TpHbx/K9eWvpEI0KZnE+HadL7HKtPBuJZ5fV8zXSPYSuYx8SOfGSW75F2au8euOze3/pH3TXxqK1Df+8Bu+1ps2lwWgdsWzTq+ECgEfhmBTEgrCmwNZ/x9ofURtuu3KPJFo0wgJnbk2Z7WolH7IIZNBC6DDiTWFBTBodjCTGWzw7eIp3nE9SxaFrlUQVQqECVKRaNuDEmlj7tFu1erZGOnWCCj0ggYq7khcKLvMjdULjrm21ecyIhYaocSYojVazqFZ+gDSMlh+hOQIUK3b0nQLP5jJl9zZq6mBPLV4f91qiTOU8/PvnNIAoOo8IV8STNpMSkjqtk/DClwaV5MNZi6pjYs4s/07veeU7gp8/a8phTlBgAByX7G+r5XI1mioPl5pqKaz3GqNWmyz3xizPlUIZsZ6mEqwhRa7y9/zl7dStKVJNIzr3IIYkINo8jyG80oyVTAbAI8t4gusub9c4znYtOz6dow2XS+e5zvpO8OVVDEpqhv+HlHmC0zAnXpuzR3j5fMrX/+3AuuGUj1lG/pku9dPhOwH/rc7kzgfIzs7uzsMPWxhhVj+T4IIrYWO+AtmdUBj8GyPWw+tv2Hv78kMOWGUghacsuXnygR5wFhqK4LgVkEMiHtWPH22ZNXPoDCRR3z0aQkJSGy46c+Uc+81xp1wwKZbRsT6q6F75dOFymzqDO7WGzVTdVyMc7IWt/T/JkkwqLc0t+uj9AToWqhm0sUzKz7pIaTRbrar0Ygy7Pxbxv6VrlXiMOwbFsSJGSiv5dMnUzWVKKegHkO/RwZyU3BsO8stYScU5yssdnSLyzzH+azRKkbBtQ4JwmfZwfp8YxkPkNBE94XNW6TRHr2vVvPb3nhbGqQTz5e5oiswMb1kUvmTaZ1JM449T/1bNqsLDm/DwTy3bFhQojTFQB2SWC3eZfgMXWPl44t7wOCzVUBid13M9P7zS6O8F5qQu2jruQ08iCwrdvRAdLDSRZ2M32U7FwupfW+HcZsF+th4WOiTpm5mT8y5+dqHO7DtC8FlxpnIQCBPnHtOfi/WYwQkD5atL9TCJ4Fgrlq6OuWC5QSWHNBDIe++5n/iWKDIOfGN3Pt9SpPEoRcRNNkm8ooXynf3V5t3DR+ODDzMd36rlX7FQSsab7z1M6+ekYqN/zWKCRq42ZLgsQf0Hrh/vQpaxAd/nKa51P/fMdSYR3rO+/t0xtxynueypkoWKRdXjQtlSPvaJ/YOvt+ULteJmVO8yQVLPMXJjGkIDJvumYG7GSfGeWL5JkTldpzOfQ/nXo2l57fExr+f0zY2XJDiWSrfILUMTEveZf0MXWPl45NHwQthJY6uYYbQe8HtzhqfSmByxtr4GMFjH0MyOraWP6gc/5A5E5BwWl+KBTH7+gG3DN+Px5mfT/nudXYCoF9EcgPvY1O7wOzb7+7nJ9mGYvDJl+8DDIY+q9NpRFJs6UP57EiRnNh7J2WLe4WTgShV3mSIAy/PbmQ7ZJwlW8VM7EN6VLit8s9u8RzRANamD0vmZg11wkWpz4VSxIklpxUssw5zaruaZ+gFQGkaFG3sp+xvvPeDp3aBbdwtudfZ6PSW7wQfaZ+Cm2myUmBgim1VxRzzdY/PzcEAqFnuk9i2OeEQzaRv1SxvSv8A6eS6E49m0vPz02LIJLhu559J9cQpGHeS96lfB7H7vHSsSFvVDdWuaXVaJa8BymUCVwabjBHz19C4PoItCkC09eecwxZ9oVLRnwGx/TOuV4q6iI/kr71NQ0Xg3sGc6shFAL7IpCpN2xqTp3/LRcUaUM2ES1mLOqJ8faVFdLUYufcK3i5SYOVc3eJJNsW50wGnOYSY+OqwgLAfOo7xCwsrx0zDQXFQsZhm+O477JgDWa69DvadgxMsq4h6OHWG9IvipRqq+U3P+9PKkoWbmqTaE/3JskX0tSroKnmUIXSb5RKRj0WscjUicghQPwLKUx933ISUpF7c1pWGUEW9ZnvpMhlfo09mczN1phvHfch6xhSp2oJAp/z8Gwl0UsVDIkSlMP8LhACuR0m0O2fpcyLNvZs5mZk0/nwz+OGaUL6CizeIaTT2Hqspt4l+DN7Tt3jpWOTPocVTtTtmi1L3s0FPv3yNZcQuD6yh8/E2C68L/A8RfLWnOiaffV1GqdyXPXH/Jv2cK1989acU/VVCKyFQCpFa1UT2HdcFlLO3/xRLWJ9/jVkBLHjp+TDzsQy9AlLU5Ods+P41XADcbzKA/xdj9GyBiKfPUTMGOzsfcQtxMZB8ZCKwiLGUZzyIsiAuYh7h+AKZAIhPWVZs2Pgdehr+MYjVkm2kGJmVETauofQ8QtDFKhanPAt4knskIk+sCFzeyEzlFNEja8Y06v7TcFyL/2b4jXsG2F3n/3Oc5x5D1UR8cwwX3q2XZdZ1d/IvWeaesVqhpin9SyJoPEwz1MGnYPEaT1BzfJp6VhPoUNY+fJ5X/hacqEyZucbq4ADJmTXTPI69mxKLTJ3fpqZEeJ+TfZzWLICIjnuiYCMpe8SLgOHqXu8ZGyHfA4TN24ri6wdSwhcr1DxHRkrFTEkcIud8A6JxoK+h+ois4WP4rD1BO5cFrIF06tDCoG9EUilaMx1Yu/Od+xACgvvqoVD7VFEx0fPzwUDWCD6ElDDy1AgqB3InCAIFgTRoH0+rB2Htvi0THnAh4cjO3yRNWYpwRh8qfgWWbT8jrmTEpfEIU1gu5hPFw/yhg60qFNn+ATyaZL4WCQz535EiepLNUNm+IghKunnRk3qzadg8zsqLwLC9M/c5t4pFs+vjcuR+4kAjfVNbbPWes4ROVHOFGgknkqmWb+ksfE7zzvLERIimIGpN/3lKLvWLVYxREt+OEGHvfl1LEAjCY3rSUnCbKvxs0NkzcU7I0KUmpj9bXo24bLpfCTLs571T6mDMEccBRsKFoCHdyavt/RdMsdN93hubId+HXp//EUcagmB6/3fphSqvnzJWoWbDw2W/nv/tyl1cVgWp3dsPcYY6xrXgQDp34fLR9luV5AMNdeCnYuExRopsVP38dcsKD7IPmKZINTO14fNh8wOPh2THe+jzZ9TH5ylmXAsLnbyHKd9vKUHsBDMqTZ94fZziEC9jiehZlEIHAeBdG2ilm0qoXac0dRV5hBI07M1wvd6trrMHIHrc8Uk8x5mYdcH50GLgsYpdpjccm7gp/p9ysaAs4Mwj2Htt3R25ChJrs0M1acac1338hDwDFFRmE8k2ETKmMw4rN+l+ZP0xcn5ZPHTsHMebiwoA3a8Q3OfjzXzCZKYKX8QNyZQGxW1DaUkyN8Zx9AJeohsHwlWwTuX99zViG8bgcyjxhRM/ZtLMXPbaJ1+9j3f4gs7rABzxwjnCFwfnDCmrDkfsSEJO5aJlZzch1hvgiXNM/tAt4/i1wcnjClr6S9A8bDocu6Uv+fU9eH2wavOPS4Cmc+JY3pPmJhDEC7P3djGICPKSP6ZB0lfiB3H/M8f+SB7H20wJIzVmDdk7mea4x/DdEiVs8PT+vI0Y6hsLekfF9q6WiFQCEwgMJX8uQA7bwSSE9lgc/PgezjZ5ghcMngdyOrMqZAzLVPOuzX7PKkP0SH38dsQmbO0nZLA9XKl8VrUMteMhZIzMb8IJUL4E0hSyOw0FTa9dM513G0hwMGW+jYWNZlRRxCx2/KM5eagT86J4FHj+KR4JzfV3MsUGvoc5k/ys0wu6jiOwH2Kg+Gd6V0j3m8Q0Xlbd7FmWwhcDgJUfQEZLEpUHcIKhb+ijc//HvL942s5Vq/5jtFvInBD3y8ZljkK+6hrSI16ZHb5omRe2tUkO3+YfiVShlmJP5EyI3LsZPkcFRh+sDkS81VCXKsVAtsgkCZIjrljKTh6gjRmwqeAeZGZWynNmo+yItNTrSdwY6QrHa+5OozlPez7zSg0vnCLoqK2AaeOLQQKgUKgEPhVCGTA5KJsF5sIXO//4gqLoiIu6GZk0j5DrsjSC7pxFzTUJECiteaaItNjNfAENTDbS0sgao3ZNYs3j/U5R+Cc0yt/m6orZF/7uCnMzbt+XwgUAoVAIfBLCKxG4DITsuR9U4vLpYLel60wh8WlKy51wgcYNwwREyWBFGyWj0tE5SZycYBhnHWXSYAW7aYmZiKdgGAH/nPU7sxLNTXxJQSuJ5abghOKwJ3141WDKwQKgStDIIWlRcl8Nylwfe6zRfbYCwKyT04sOOFY5XMuCKJFQ/X8CFrhcHnqfFSCaJSByfxBcoGpE6i2pPQcnP5lKz+mD6OIUS+ihJa7VjHoaxy6KXNR3ksIXG+6PaQCB3OBP9UKgUKgELg1BJCx52456a02zVMEbpjgdlj2YssxTR5+qiCGPjnxPovrWjhcaj99rbxNtSmPNb/M6+f+8tn6uoigYAkOEMl5qOd4Tg2byjE4h4uxi0SS+kN6G0qcDUfObez8JQQuFTgbmWHt377P3A3u+o4UgZu7w/X7QqAQuFYETkbg5gq8rwX4qQhcn5z40Bnm1YXlcySyZO30I4fse8k9zoLNcoyJ2B3m0FvSx5rHJDGXOVzx5Ve2zlNNVvDYvT9WQErvhoCIedamcjFRxe7TijInJu6vDOjSfSBuStw8pEWVCWZQhWDYlhC49IETfLSp9udW/hhr3sjqqxAoBAqBG0RgFQWuT3A7VeD9UrEdJic+ZIJShEKmfLXnLJZrtkP2vXScSVCe0fKLrU1Ql44jj0tiPjT5S5XxJS3VTRZq3rbvXY7vCy9LBSLlzlitTeZfAQr+iO7W0nQqOvVZjfgJJPJ/kdJ84pR/GmI+R+D66HIkUF3RqVYEbpe7XucUAoVAIbAbAqsQuD7B7VT5rN2Gd/qz+uTEu5q2chZMWw9vRYlfHxE/22rbSbRKkWKyc4wix4oP88GSywvxuXfLjp3lkSRblWHfgix9hMVT2hZmSorR/VrSV9cZ61uFDOciDfJ/vUv7v7xfkreqIZftHi0dhSSBzjEGJZaUXJGYWTqVe7ZxI4oPbQkFP29QL9IYjTmrU1CZzFk+PUTpdd01XUMpJwEPala+thEQ5ZykcoHLfSPiOS2lC5On9C5IjaLRU+dnPbyemPcJapMIqaMHN7VuUwXTp59TtdQShIe5S5lD7RKQMXWP5QTMtmlsfMxEOSNdyBkyrw6ie8pVQdkrdQWZG7MaQ5pO1cTsCSdfPmZUOE9VBekJnJqC8OybxMCuI23OpnxyztnXhHr6t71GUAgUAoXA5SCwN4GTrT1NNabNf8ifayjDQX1AOiyoGsLyERHx8h3ubyoZVBHpHyzIojCZ6RCYDJRADPpF2EKutqXfW0g5/3O0VyjYcRK1Kn1iUX9Ry7snsz5Skf1M9Y0A6Vu/amcie5Qa/mnpo5ZE566N0PhbEAJTnWtk9n0kT/QxAoXkUdmQmewn/SQf0KJ4kTjXhKc/fd4wzxTiwbSJTEqOTInK1DQIkGeMP5a/Ja1FXiSepJ559jad7/YlMXctRA1ZYipEsOUrpDSJ4swo2SyALBfak9r9k6JDRHL6mM3dY9edmxsyhtQyobv3w8Y0iqwqdZMBFkynlFvPgQLUfevNsgpSI2EKsmfrCRySJ7k29dfmAnljxkWIYSRyeFPb6mOywztUpxQChUAhUAjc+f1elLqpD2KwsCM3Fi9ZnLNRQagN/nzjBSNN5UEGHtbVgzQdypOIRSY2qtDSlgQGXgqPv6QRD4XFvyci0h+L4kKBS1NX+o1R1xQal4Hfwu331CkLuYoXz2vEJR3OEZDsZ6xvizOSRf2zaFuktTSDpbks8/vxc+QnZhHnB6XSxqubOshMR6GxyCMBvbqVpCtJJAJCyVQLlxqGHCMtmeE/FTBqHOUI0UXSKF+OoQxm0XT36BURoQ7ca5r66Now2XS+eWbVEPeSKii9iQS48EPMmCGTIKm0wfxI3TQmz7h3wXEiWdN/bu4eL5mbsekb8ULAH9zIJoIpQ7rNkg0EkorgMbM+qtUv9ewwB8NCgznC9okdGZSiBNnzvHiGhgocUs9NAMFFmimQqqakclkEbukbX8cVAoVAIXBYBAgkRKBFqafmSmkddqiX33uaxygcQ98qCy1C8JEDFSUVFGQCcfrmBkOWOKIS9QSMGUsiV2QkCfSw76y3iQBRnChp2dIvLH39+hJNVCFj7FNrJOGTbyx9r5BN5lPKENL14o6gUvnUiuUrKS8c8odMIBn6pQDCxvWRS+ZNJAaJM07EpY8eRWCQMD9HsJac3/t1Zd1QZAZZRnxhlwQ25w+XHv8ktmqWIlBJcKbu8dKxHfspn/OB22Y8pcBtg9Z6x1J1vWdcF2x0xpqNk2oxIq0Rcup233pXkV1GtkgB2KXjOqcQKAQmEdjK77gI3H5PEn8zJkGmLhG1zHyIRyo3/NaYV3+ku0zeoCc3osYHLMsbPbYRHf5yGp8n/fMdG6pCfd8ZdPL0Rpz0qaVyxpSIGMmLpvW5xfogjhy37P/1RVEZAAAR+UlEQVSuR03UcjGggmX0YxJDCqJ5u2buHrLPzDeG5JkThQm5k5aiV4By/Pz4qI8UMW3p+X3VkGH9z/TnRLIf0UgdEzP10+9yHMzYiONQMZ26x0vHtt8Ttv3ZaxK4KqW1Pf5rnjGs5PGYpka/ofnQcnuwOfG+MP33KnMq0pR1LgIsBDYnwyTm/XfLRtAGiwJOAfCunzqyfE08q69C4NwRSH7AOkNE6f3I7xh7Ebj9b+fbNbMh81b606WixEyGJKQ5MwmSnXUqWUaQZlWErS8ujqRRtKhb2c9Y30lShlGFHPKZvvnXUbJ60kQJJNUyoSKZ/M3S/40ptVcU+elxvNc/PzeLwBObuTGJYZ8TLslfOsFbXPgHTiXRzfEPkwEvPT9VTX5ew3x02Tdy+MgWpGHePVYZHACHoWLq/ozd46Vj2/8J266HNQlcFbPfDvu1j+7xH1PEuAnYjNjg8eXMZzcVad+PoY/kXIlEv2eSZ9bPDena86r+CoFCYByB1YrZF8DTCFgkRZHyT9KSJKR/WCpK/KuoTaIbX9WZCpGmMaWJKsTvjHmESmbnzB+RqRORQ4BElwqS6Pvm1yfooa9Xyw/t8c0Mo8/vaP5wgipEw/ZkMgMOxnzrMqgFqdOf3X6SSGabJHq5MCBRHkIl2ARC8IkbJtC9e4sqRRqpchYMJuT0iUvkczey6XzH5nFMST3x7NN4UBqQTmPrsbLYCZqgOlAo7HoEVcCfX+HUPV46tmO/R2sSuCT0TN7XVgv52Pdll+uliubcsXrNw4TrmTFAYJJ3SkDTtw8uPFciMVV7GzbfiWqFQCFwPAQyN+6i/LSlwO12YyzeiFWSLcSDGTXrVCJ0/MIQBYsgJ3wqXBI7N6kPbFCoHPlAZpgfETWmDKZXH2IKVn6UKV7Dvpk87cT9jqnQfaWCMck+rpkvmXZd1wfa36Ix+b/5oNulI1NpFs3F2niYFClUzkHitJ6gcsLXd5p7KHQIK18+fmjMkqJ9jdn5xmphYkJ2zVQZEF1+c2n+dR2pRebOTzMzQtynvPFzWHoRlLNyTwRk8HszZrjAlglKdC0zswWRoz/TMUUVDlP3eMnYdnu69jurX/T3JV2pDEuzcsh8ifvN+DrP7v06zXCqXnOfDD3zH3qebUoE8/TvU7/Z8e+xEokCiqj1grq8L9UKgULgOAhkMB8uQVDgnrSxFYGbQ2j89xZ16gylTMSpmpdPa879yAwneKoZMuMmICrp50ZN6s2nruB3IlkREDfx2Y30CQrg12Y3LJ0HAjTWN7UNeWRCQeTu1syczKfp3IycPKH9jgonshEJsUtn6s2dtw+/3b70FciAKF3pKnrz61iARhIa1+Obw2yrCQJAZM0FqbOoUBOzvzTPjtVShcum85Esuc6y/il1EOaII+dvEa7wEPyR18v0Ifzh/BzBk4OPiVfqEgEk/PTMcdM9nhvbbk/W7mdRDDPXndxyGlKMpNoICBgZLuZzV+ujjwWHeD6rHQeB3tQ5Va95mJR87h4dq0TicRCqqxQC14VAWqOs5Ys2zEXgrusB2Gc2GahALev99vbps849HgIWc9HCY43ayhk9c+BtM6qtJP1tOq5jNyLQ+7/Jx8g/c6iIZVJm0edTiZ37i2TqH6ly+MxtqoNbt6cQKASOi0DvsiLjwzAH6B2jKQJ33Bt0zldL0xv5lsn3GhI3nzPelzK29PUb88G6lDlc4jgzSMbYx0ydAmuoxxRzCh3VW6qfTeXs0seVywZ11r1Nt4hLxKjGXAhcEwK5aeODvajAQBG4a7r9u88l/W2Qt7EozN17rjMvHYH3abnGMgimFvzD39Fhqg+KuFJrXCXeprlb8JHllsD9QU5F7hJTUd454vRx9f9FTtKHn2pdoRAoBBoC/LD5YC9K4uucInD17NylBWRIq8EMJ/8MvzF+e9UKgTStk/f78miFzOEQ6E2dY1fh6ykQRzQ6v9JMU7RpRL2DtOMW+dgcborVcyFQCAwQ4BsveEhpS1kmBANubEXg5hCq3xcCt41A71groEQ+vWqHRaA3dQr4sbkSWZo535C2TOy9dCSZ+keAi9J3RcaXIlfHFQKHR6BX3YdpsyavXgTu8DemrlAIXDICfTqLPmv/Jc/p3MfemzoTc34xItpFXGvDpN1zc8rUPwh5ksKqsjCHWv2+EDgOAhl1Lj3ZB7Wyk7NXLgI3C1EdUAjcPAIZ4FKBDId/FIapQXrVU7oieR6RMOly+pq9cyPLZOOOKyI+h9YvYSy6l2P5A5rJOutWz59dRxQC2yGQeVRfu01wURG47UCuowuBW0Qg/eBUthiWKrtFPA45597UOSyfJbHyF7Xk09ukAZFeRoQq1U7bN8HzIed/Tn1nWTHVb7Y1Wa85D+Y1eTZFDSPioo7lB1U55gNaLtLPbgEta163+joeAhl1vlVwURG4492gulIhcKkI9KpQ+cEd9i72ps6h4pnJwD+rDYGjsw/+XMqfJOCUpKmccoed1WX2PlXT+lSzSSVcknTJXpVkzDrNb19+jae6LXtft/d/k5j+OUt7LAK3FKk6rhC4bQQyH9xWO8Tbhmyn2femzrHyWX0t0+e3hVxVlU2tL68mevUTIkLN4jWahKPSH6g8sykH3bbXynKASuI9Y9uTVzo+U+go8XcOuTHz2aCmZtnBfnPFpK7ySrXLQqAvpbmV0lsE7rJudI22EDgVAu/coiClrKgEsIe5C33EryuMZWNnxlZH+WHNlKaWr5JwU21pTdVdZiRaFmFQL5lv3lrNmFWLELSBlLx4rY637GesZOCWXax2+FSZpd48Ljdg1qZe7cLV0cERSN9WGxV1iBeXPCwCd/B7UxcoBK4CATL/JzcH+DKjHuaW9uWzJE6WVPsHRi6VaqhfSfC76aPf11SdIoVTs7lH85uTj4q6JhJWbeRXRoR60NIdSG+CUL6g5aS7T3P+v2tE8Mt6cPOb/MyIyCCAd2rKoYVKcmIl3pgAFfBW0/fj2yaBjxczsnx3KkdoCOwHRwS/NGPSl77VPc42NW5lAvmMvUdE3LONGwl9aMu5RdmSooVJOpWtd2tjlQfR+MxHzVnEtTdd57hsdNRU/upWQ9p7IxiCD9t9m3ns+1sf8vmpcW1TBNv3joj3jYh3iAjO7PDLGs75bKhn67n4rjZZJF/uMPWOP2bgB0e9hNX9Wik9eFIVv6Ll+9TFFFbf1OE5Nbc50/1h3pLr6jW/q49pvq2bNmN3zLwI3HU9DDWbQuCQCDCVfXnL+r/VTvGQg7qSvi3gTJsWbW2Tr1qqoRb8TTVQU8myYFNwtiFwSWAQMWTN3xKMKtn1nRGRyYZ/IiIeHRE/0/q/d0Q8u6UqQfz49HHQFkCBaDyyJQ5Hgl7azK+yzzPB2iCoJpFkRVLx/JnuEaDPbUqwKNzXN/IqsCaDa+bGnfUmERcYI1CIIPUDGc1+0m/w2xqBfK+I+KpGmFUjgYlgAhgjXcZPiZRFH9FDrFKpdm9Vy1B71t/KnyF5kqVL3ooIfVpE/HAjo/dvGfn7YJN0cv+aNmf38yGNoH1tRDyznZ+vw7tGxJMjgpkdVsaJoLofSQDnsFoytyt5/U42jfSzfF0j4P5e3IrALYaqDiwEbh6BNN8hDhah7715RNYBgELDVIg8JNHSMzIgZ9uzBtUWhqW2lNN6WotQ/emmHvGloRZRl/o+EZLnNhVN+a0pc00qdxYYfXGYp/AgCwhMJhtGWihw6f+WfmNfHxHPa2ROFQg+d6o/fGz7Yxxalg/60M4Mm2Sl/9m9GsmiDH1Sh0eqkZkXb27c6UNIBUPCEODejyxJUwaTwPVVrR4tAkkNRCIRMXNOBQwBQwIpiFRDCqpxwjerYLjPr2gEj9+i++ja/Oss3IJSEGF9P7CRO8pif7/9DgZI40c15c1m6iXdo+ieGcu3NmJJ4UtTq2fBvCl8c1gtmds6b8Dt9uIZtzHYNq/jLyJWBO52H5yaeSGwCwIWOKSCErMkAnKXa9Q5p0fA2sCUiaz06liObMo/LJMQU2qdnyX5mPE8NyJon9LVbeWYT5XLDUGSFaa/VMPePCK+oJkiH94UwH4cCFCWBpsbdxI+UZyIMfUryQ3CQhHjc5cBA1TAJHo5tySW6tIieMacKVoQWilezDPnnioL0vvRzbzqus5DviiYxo+Y8WNDvBE1SqfjUu1EAPta1VRBplqkPfFjNkUm/Q5WP9iASkWRiS7J5yasls7t9E/q5Y5AWqAvjAjPh/vfuwEsmlURuEUw1UGFQCHQEMjFlJlrq4ipQvDiEKAmWWD4PPa1U/lhPbH5VqUKZHKpZPmZ47PsGlLBTw1B8sy8rCGRee2YQoeqEOXKz1SLSDVM7rOMvuyvR8VDjFLVmxv3gwbjSHJDBUPE+J3xcUOkqI5Ut1TRjCWJZZLBr2yqpLFSNxEvfn3ZcvzwQGr5vmlpKjZ/PoTUMaolf7/0fXNcqp38IXu8e//GxzbSmKSOuds9YpLWUunpVU0/n8Jq6dwu7qE+owHnZlhibb6sW/sUFoE7o7tZQykELgQBC+CXNh+bUuEu5KbtOEwmR2oaEyryQFWayo+WRIjJMQmZywo40Icggr56BGLI3PgZjeAxSaaJkwkQ6fOzVMOGZibBCMzA8qJRsnrSMzbu9H9jAu799nozFn8xARX8+ARrJOHKOasjazxvaASJifoREfGiDfjm+IfkKU3F0sVQGJNsDbtK5Q+Z1heTqNYTOD6F8IKDcmt9dHIqPQIyxhJxD7FCRJG/JXPb8bG6+dNyI8wXM3P6bQ1KEbitIasTCoGbRyDNNBlhyAer2vUgQH0RnMCPLdU2i/mHtejHVJT4bFGLBCsgbZlvDklj1ky/OMcjOIgatcHP+bQhHPpFbKhWFDD/Z2J1LWPgo6a/Tx1UkBC9+vh2PLLI52xu3GN+e2/bUm8gdfqjjuU8+rQcea6gCmqZBRixsplJXDwB1lSLMqKLaGX6D9GyzLO9mSxVrmHx8ru3qFR99P55wzQhSWDv1hRPUb42VP2Y4ISs8j3kJ0ep0yc/1h+fuMdI6rCfsbldzxN//JnYvDy1BS7Z3OzUisDtBFudVAjcPAKi3KgnFuYnbJO76OaRO38AkCyLvL+ZApEWKg3CglRQgRACpIqqhawhcZ4DJCX9yHKmSTRe3ny8pMmgPiFy8tkhC4gG1c21VIzge2ejwE9Nge8va2ZS+eYyyS8y8rhGqJif5sadSlYGKiBXfNZcx7lIXObNozb26TrMydhECr9nMy07hnLm3Ce1OSBZfNIoeMzAaSZFdHvzL2ykFuHDRpmEp+sjXwikCFJY9xHHfVQq3Pm6GSMizOeOKTZT/SCVgmCYgBFJJm3484n7hha9uukeI81zczv/J/k8R5ibBpuToXK81YiLwG0FVx1cCBQCDYFcRDm4MyFRJapdPgIUN0SMqkMBEy2JaCBUqbRa3N135kbJdhGNMX+2RAM5E6ggZYdjKQ9SivCH41Cvbz5AiIb+mEqlU/FzZlHnMzMhK4icsQkAYD6VekObG3cqWZz9bTxe2IiSvHZSc6T5NRUz5kljhoGWcxaIgSRRHEVlI5AUrru0lB3mIT1J+sBN+Z7p0ztEiUGEkUI56KiPrmE8UrJ4txBmLSOIbZ4oev6PKPY+d34HO/6GUogYjxxx7hUTreAj5zG5brrHS+Z2+U/78WfguWUyVzJLkEn6g+40kiJwO8FWJxUChUBTaez+qQQW3R8rVAqBM0Ug/fOoXb0f2ZkOt4Z1pQgg1iKXEWmbka0DF3pcisBd6VNS0yoEjoRARrFxct/LHHCk8dZlbhOB9Gv7uDOpa3qbd+G2Z53fSr6KTN5TQSuLUSoCtxiqOrAQKAQmEMgkqxK6Zm6tAqsQOBcE0q8NeevzqJ3L+Goc148AkzRrhbbaRrcI3PU/ODXDQuAYCDANKNXDn4ej+V6mgWMMuK5xEwjwTRMEwcTPD05iXqarTLJ7EyDUJE+KAB9OEduqZwikEf27SisCtwqM1UkhUAi0skii5zh2q29ZrRAoBAqBW0YAeeNzibyJNF6NvAG1CNwtP1o190JgfQTUwhRZKMUDh/FqhUAhUAjcKgLSuXxgS668uupbBO5WH6uadyFQCBQChUAhUAhcLAJF4C721tXAC4FCoBAoBAqBQuBWEfgFZlf8Ff5LA74AAAAASUVORK5CYII=" width="312" height="40.5" style="width: 312px; height: 40.5px;"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> with </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcEAAAAoCAYAAACGh0EWAAAAAXNSR0IArs4c6QAAFM1JREFUeF7t3QWQJMtxBuBfZmbLbJmZmUFmZmZmZgaZUWZmZpaZmZkto8zMtozxvah8UerXM9Oz2z23s1MdcXF3uw1V2VX5Z/4Jfa+MY0hgSGBIYEhgSOBCJXCvC533mPaQwJDAkMCQwJBABgiORTAkMCQwJDAkcLESGCB4sa9+THxIYEhgSGBIYIDgWANDAkMCQwJDAhcrgQGCF/vqx8SHBIYEhgSGBI4BwUdM8tBJ/uWWiO1hkjxykn9O8r+3YE4PleRRk/xrkv++BfMZUxgSWCKB27aPl8x5nLOiBPaB4LMmuW+SZ0ni38+e5FWSfOuKzz/lrR6njf9pkzxfkmdL8vlJ3jfJg085kJWeBfBerr2f50ry3El+IMlbJvnHlZ4xbjMkcNMkcNv2Mfk+QZLXb/v5eZL8XZIfSvLFSX7sgFHL+H3hJG/UruOsPEaSb0zygCT/uecFnuO1q6/HQ54gT+ljkrxjkl9O8jpJfnv1UZzuhl76ayb5mvbIN0zyFad7/OpP8v5sAGD+1Ek+KMlHJvm/1Z80bjgkcHMkcFv2sf37Mknun4RxPnd8SpIPaAzP9PePleR+SZ4zyTsk+fl2wtMk+ewkD0ryHkn+eubG53jtJivwEAiiPwn5/ZJ8WRM0+vCcj5dK8j1JfrcB4q+c82SaJ/j1DQRfOsn3nvl8xvCHBJZI4Dbs46dP8lVJfqJ5fQ9Mcu/GWL1XEkDleNcknzoxbnl8H9cclLduhnBv/NIF9AK9/d4TED3Ha5esiSudcwgEH7MJ8RWSvHuST77SU27WRQD9o9oCuQ3UIe/8q9tGQqn80c0S9xjNkMAmEjj3ffzwjbXhpX3iDOX5okm+JMl9knxfkjdO8uedJIWmANxvJHm9JH8wkTLd/QVJXi3JlPE6x2s3WURueggExQNZE4/f+Oof32Akj5bk5dvLet720vc95jq0rDjaZzT+fA3qkEX1IUl+tC3Uffz7BqK7K1GpPPXPSfJuSf59iweNew4JrCQBOufJ21r9yiQ/eYX7rr2PrzCEh7iEDhOTe6QkH7/wZujP90/C4/urmWvsbbqFngJ+r9TRncJUn57kTZPs2vfkjEalH74pyVsk+fuWDHhu1y4U6dVOOwSCb5Dky1uQ1r//7GqPmb1KVtdrtRe9iw+fu/A6IOg54oESfdagDoEg7/htkvxs2wDffkIgkiTAGnzZJG/bNsSKr2jcakhgNQn04PcmLZP5hZJcxbBeex9fdZIFfu/UYnof3EBnyf1eOcnjNm9t1/lF+fp9L6tyTuQB7GPoPONbWga8JDqyPsdrl8jzyufsA8GHa0kxvAuKfs0sSgDovqwcVh1e/DOT/MzGmZq1KHDwa1GHNgIr612aF/urjd7gQStX2PIQEP+29oDeUtzymePeQwLHSICOebrm8UhKq/3+CUl+6YrlSVvs42Pm9NjNCwN+6MqtDOAXbNmhdMprJ/mtNsiav/++bpfoN51DXe/nZSSf47XHvJujz90Hgk/YMidfrOOUnc+SoPDxyr/YLJFjk0u8uM9towWGuO+ta9t2UYesMSCGWniEJB/YQPl/jpTmFAxl0X5skq/dEAx5oLLAvqvRMX/T6A7xA9Y2SxE9w4g5NVV7pPjG6bdMAjI4lSG9Z4tZmR5j9zrg5x5b7+N9r0EpA11BZ0la2Qr8agzlCTKo+/yFiodOPcTp2HuPuRwZ2aJyIs7p2v9qZR/m8xytHAwLRv9hJ+lwmCT2+U8tgVOIyoE6Jru3a/8nu2/uk4z2gSAr4juT/EXLohSAfav2oJ9K8hrNCjrWS7SQvjTJSzbFrUThFCn9c9ShekFB6Z9r4A7wr+slzoHhpzXa0gta6+ip2I9uXvVTNCUjxmC+rzoTT1jr+eM+QwJzEtgK/OpZp9rH/dxODX71bGD7SU2JS3Jx0Nlihf4cA2Rih6hTmaLndC0ZYA6FsCQLvU9jEwp3sGHKSH6t1bXzzLGKwP7xmvw4NICSfp8aFHsTY8rLcBEUfbOGxuoGHZVgciwIljv+dQ3JBWtPcRQX/igtyMxCYD0IHqMZar7XBcGayzReIGsTGCqA/dsVJtx76rxynqeUaX/MgZGhFGQaVF/h0eMWQwL3kADwe4GmaGUkOtbw/KYPOuU+ftIkb9+M/1N4fv1cK7vTz+imqvXrjd9jQPC7mxcrBOV+53KtXJTSl2h1zNozNyZSmRv9/RFJ/riBIa+PUwCfODhYRkwZhu/DjwHBXtCCvdJveU1QWJyrd7OPScjoqYxTF6pXkg+BEBKriGv8m0n6+a5dDzkFQ90gGBJfeE0wLE/991sdkffwWUl+uFmLlRmm88TaSU0DA4YESgKsdBa6LEeF31uBXz1v6308l8CzNe05t5oYtkIZ2Dd7uo4+V+MYIOPMAHQ6j3d1Ltf2NHDRw5Ij1U7CEEBHh/dOAadNwwBJij+YhOOzsypgFx3KpZS+zLJjOQA93P5fNuHNZR0tUQtTK2bJNdNzrpId2i8c3VVsXB5ZLa7pfLfoujIHhrxoNEdf/7NUJkWV8KjFArVXYnmjlh+9Fc9KRBilE0slOs47RgK7wE8cXI7AFiGOLffxLvAzH8r0lDH1J2v6Sd5E7en+3dDJvJpjgKz0AD1+btdW2VfFQnm1sIgjUTq8kgRLF/b6cG828S4QLMTVHUYsEBUKbR29N3esl3GnQLC3EgAOXryPRfapyGuUTuxSJuT9Is1j0y3CwVJBT3Dtlx59nZT4H04cDVrJRX0a9DGe+tLnn/N5YkriC8/Q/qbkjpH9Oc99rbE/bEs+oIyrqwnFynPZssH+lvtYCYKuLHokO76jeRu/t5bQFt5HmMZeRu/NFdG7TYVujgHBipNJmJNMd07X/keLA5Y3R+epsQSCZWz1MjHXvktO6ffZUNccCPZFlgQ1bcnTB6YrIWNpJmUPoKdsxl3UIfCQlCO1uZJU+vkeC+oL1/VdsVfAhE7W3cHBmqE0WDLHZsb2lg0QVaj7p91gijK6La3hlsp56XlP3JgOmWV6Lq4Ro1367P48XUM0TEbfWBfixhgYIPPibY3Y+GvW515lnLuumSaMiEtX3HuL8qCt9zEj/RUbtashPSdATAkY/eGagttxL961hA7HLgD0u6VlDkJY8gLovaonPMdrzbnXedN8kp4hwBTaS+W09fp9lhWbA8GeSvPFCJx039Gg3E4b4CpeUyE2qwtan4JmKOqQF6g840e6RdjP91hQP7Qv5jLldG+Q8cUqueonnPqFPI2t9gti7fjmofmey+/LU/6iZnUvNeK2ml/tid5AM0bt8NA+Nz2mO62b2woMT7WPGScSyxitGtSfAgwLAJVp8QT3dX7qAWFpsbxkpe+fgMm5XGvfvXqSb2jvQpgHuNfRMwQ65HxYktrTvX6fZcXmQLAXsKBkpebWA6/bReYZk0ByB0A6tsbwWEXUU7DigL6I0VupW3Sf2DJNvLds5noKrtFFBiUjjZoV/OvHCvzA+Vvee+lQq9+qdn3KgO7k0Rstgv1aWtnAgAVlL9nkJoxziYy2BMM7sY9PBYYAkIJ+ypbFOOdF2/fGgxrs26bty86vGFqvJ87x2n6P9DXRtSaLIUDFT5uGTLOJ60sbd6/nORAsL4M7qa1ZrwTnusiglp6o9c9cslGqcSy3//NaptIW1EmNpU96mQP1afcJgVVUlIVjwR1zzIEf6142qDKMNZIFestmavUY67SLDHqAIuV5LilHoWx46GKWa1OFW9576XsqSh6w3IRPg5UVyxjrWQp1TahR/XSnlu/Sud6p86ZJYOUZYiauWit7yn08lds0Cag8QwAkc/46+9q9xenEIiv7fu692Y/yCSTLeF59JYJSn2MKej0x/QrFuV3be3pwg9xL5jAMQ4A+nmO+Sr8XeDr/+Zvxqwj/HnWChz6dVBsTVSCm99Mta1QXiMocXbLxvFBUlA0uhiCdf6tPNO375EpfeEqwaklQU78wSUs+NKcp+JmLlGQxv7XAr8bQJ73M0dG6xfDgPF88V19RB2rNwjFnSQAMnOo8T2nhy8VBAB/Q1GdQSzbZaVWsCmApMaUYkqVQRaxNyQP1gU5fHEGfMyB4/boKedfGMXdvCQDVWsu1rlMHJD7rw6BFlxuDeI10fNeYC6PMWBhi3rO/Ud7irBSLuiIUkHNqfZWnbIzv3IyGD21j1TWo2tCVvHk3NhL637oVo9MsQiGujxlLspGCjeK2LwArOqsaQ++6fmrFathQsV3yENeobkBi2P3+sg8pPg2b7VnvxFgkqohd7XrHEgb6b8sdGtuhdX/o97wOAE5xeafXAcNT7OND85nWQl4XDN1P+0b7zbub04GlWwAZ47Sckv5zSHPlZgV0jPm+ztAcz+3a3tPTAER7zTp6sJ/Suz2e0e+cBnJGq97ds3bqCfZU2hxf3McD1Q8qJq1q/UMLaPr7/lMh6nDwuBTfml5hTx3eo1PApJSAFfEnLaDKAl8Sr3N/FhzwxLlfd1MskWHR0XOZTr2nLvEGGKDWvKMCk6J/gR4lS7nYRBStL9K7P9CYeh+8Y1+ul8QhhdtaYMSYN0qbtwuAAD+ljE61hvr7zN3bhqQk3YslLBu5xuidVblKbQQgw6rj1T9VM6AkFhX4a5fEWhZ7NS9z7Bsb1xoGVBJiABhrGlWunZJNQmaUjzgEBaJvLmaEHDEZwNy7fqbmrRkn8DZGgGlsgP/Q9d53xbmwIjIseTw8Qve2WRkhlbhjvVEC6r2cKw2crBQQMzYq4evQO14ytyVrcek504STY2OGW+/jpfOo8+aM3mMTaHpDR+LKoWMuh4IxZN8xNq05XVMc1hBj7cFtfc19Xu1cru3fff81jKlTMPelox4g6Xd71D3oj7u99ykIloKgGKrreP9yKB1KheK3QfWgu07WlD5wXi7lsfQ4pk6wF8Lcp5NsTsqEomNdWFAU/RIALIuKhcGrosRY2ryUrY4e5OYynVg+Yp6UvsxQSrv3poyr3jHlSrlLcadYxX5tbjJQHzr9Rhnw8b7J37ksTJ6INQRQPBuYaQZQHjbvr+5TY+/vXckAvDY9GXvvSTzMNa7nBRWtwSI2L14ZL8xXQYyblWfufS/aaiDc0ySAGFADPcBGDubmaylFl5eCMl+A94DmyfCmKRd7AFBW9p0PGTuH8SSx4d9aW8FD1/elLoDN2kF5GQf5svx7BcZg8WwerOfZyNVFwzupeOK+d2zcZHpobFus4WmMbelXJLbex1edazEYGgUw9qwr63DJgY63LqvE5NA1u7LpyZSBal1bdxJqsBYMs0NftDmHaw+9e3pD7fdcZr/5YXnsYcBHtzEWH4K+3lUneOiFrPl7QIRWQwvo7caK2XccA4JrjnPuXhQeAOFxXaXgfevxzd1fOyYACqB2ZVmx1PtvE/a0AtqP52uzWT8UMiOiB7FauALVlYhUvH5/76Js7t88vvJW61weZWUn8z4BFaUxTagqBoOCByD63ToAincDNHmZFr+NYG6MFkYA75fiIgveJKqzPCmGkXOfpMUcABMvs9iKyuoEjuRQVOPS6+s8Y+3jk5UJ1yc01PyFIEr+rmMckEtl//nZvne8dGxbrk3GD8XNuNk6MW7LedS97QPfSERJ88rHcUYSuAkgeEbiujVDLSr6HybKtzwIoMDjKIupQIaBwmtDXztsfJ4URQYsChzUvqEWFaJPvZO6NwOCF33fDnxKwEV9AmsKHzj29BE+X/xMEpOjxs0TB3JVd1lUo3N5lixkfwMJMU1WoX+zyAEowAVk1XIOUKKUeGPKhX6nk0llKzLe0K5+7+jpm33XF4D53psxsVYBsqNPAgGIZGkuun14FrbCwdLlhaOSp5773Ds+Zmy3ZrGPiQwJ7JPAAMHLXB/eO4+JVyMW6w/A49mI5U1rKQtkWLk8qvLYqtSgz7qt7F/g0N9neu9S9CgcHlh50vVF7focVN83kQdhrLpFAGOZtw7nAtves60GxChb4CbeW/MAOgWulWhUWbySOdArvD+As6tjSI3fffss2vKCD13fe9fmA8yqtqkHQWNAfQJqsu1lxfNAe6F6es+9wHj6jiVALZnbZe6KMeuLlMAAwct57TwXmZw8PB1IStE+sClx3hPPTONZyvPeLU4qPgrAxDt6j4fkqodhZalaT+KjYpKoUB6YeJ3nub6/N6+nvMhKNHFPsT4/F8AGDEBMrFEjA8koBWRiep4PTKZxTOMQI9FdXiJPBcJrHj1YFp3oZ0Wjei7A6VPPzQMlKW5HVpWtiO6tGKHxV33foevLu+b1Tmnpl2jz1xydh+cdiH3yuEtWslPJVGah+B4wZCSgpXe9YzFWBsChsV3OrhgzvXgJDBC8nCVQylk9jUSOKnfReUGcr1qJUbToTlma4mNF+/lA6pRyq6C0xAAJI+JSYnZicRQuL07yiTIRyre/t/vzRJ335klQsxQ7ClRSD9CTZCOG5Wdibq6XCCIBBVCJxVX8sDwy4CveZE68RiUPQKvmAYj7UgSeL0ADmJ4lq5NnJimFtyneRnYyL8XjFNfzmlGmvLKKI9ZKMh+U777rgVpRxsYLBCs25puQksXUMsmuJTfviqcqkYYhYj7KXx7U5O48yWyMBx7xrndc3uehsV3OrhgzvXgJDBC8nCXA86O4KWDlFRpIi3+hx3hlyl0oWiCG8lRi4dyK+wHEngoluUqzBmLq8XiSkknUfro/yhGVB6jm7k3hO0fqsh6oso79ra1dUa48P94cxe8ZvCRZpKhZyTkVP1Q/5bnAnJcFzPoazbnEnAIsni/vCXgAXvNSmoHOVVArE9rc6n5FtYoXzjUU2Hc9j9KcZLn2fWTFORka5G+euipVDLJKIxgGYqmMAONVe6eJsPEBcT1H973jemf75nY5O2LMdEhgplh+CGVI4NwkIBbGE53GMc9tHmO8QwJDAndAAsMTvANCH49cTQJVZydWJxEHPTiOIYEhgSGBxRIYILhYVOPEGyiBqnlD1U6zI2/gcMeQhgSGBG6aBAYI3rQ3MsazVAKatkuWEUfTB1RijvZndzXFHceQwJDAkMASCQwQXCKlcc6QwJDAkMCQwK2UwADBW/lax6SGBIYEhgSGBJZIYIDgEimNc4YEhgSGBIYEbqUE/h/vHC6SMOVEBAAAAABJRU5ErkJggg==" width="224.5" height="20" style="width: 224.5px; height: 20px;"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">where on average:</span></span></div><ul style="block-size: 65.1px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 32.55px; transform-origin: 391px 32.55px; margin-top: 10px; margin-bottom: 20px; "><li style="block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="79.5" height="20" style="width: 79.5px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> = 11 km</span></span></li><li style="block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="81" height="20" style="width: 81px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> = 226.32 mb</span></span></li><li style="block-size: 21.7px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.85px; text-align: left; transform-origin: 363px 10.85px; white-space: pre-wrap; margin-left: 56px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="180" height="20" style="width: 180px; height: 20px;"></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">K</span></span></li></ul><div style="block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Write a function that returns the pressure in millibars as a function of altitude in meters.  The surface observation variables should be scalars.  Assume the base altitude and surface observations are made at sea level (h0=0).  The input altitude above sea level can be a vector.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""></span></span></div></div></div>

For altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from:
 with 
where the observed surface values are:
static pressure at base of atmosphere (sea level if h0 = 0) in mb
temperatuer at base of atmosphere in K
altitude above the base of atmosphere in m
base of atmosphere (sea level if h0=0) in m
and the constants are:
molar mass of Earth’s air = 0.0289644 [kg/mol]
standard temperature lapse rate [K/m] = -0.0065 [K/m]
Rydberg constant = 8.31432 N m/mol K 
9.80665 m/s^2 is the acceleration due to gravity at the surface of Earth
and for altitudes above the tropopause (the base of the stratosphere) up to about 20,000 m):
 with 
where on average:
 = 11 km
 = 226.32 mb
K
Write a function that returns the pressure in millibars as a function of altitude in meters.  The surface observation variables should be scalars.  Assume the base altitude and surface observations are made at sea level (h0=0).  The input altitude above sea level can be a vector.

Solve

Solution Stats

593 Solutions
66 Solvers

Last Solution submitted on May 31, 2023

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers66

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 56338. Pressure for a given Above Sea Level Altitude

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers66

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Problem 56338. Pressure for a given Above Sea Level Altitude

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers66

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Players