Problem 56333. Air Density from Temperature and Pressure

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>The density of air can be estimated from the product of molar mass and molar density:</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=\"true\"/></w:customXmlPr><w:r><w:t>\\rho_{air} = M_{air}n_{air}</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:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>M_{air} = 28.9647  \\text{g/mol}</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>Write a function that finds the density of air in kg per cubic meter, for input temperature (in Kelvin) and pressure (in mb).  This function should allow: a single input temperature and pressure pair, a single temperature and vector of pressures, a single pressure and and a vector of temperatures, a vector of pressures and a vector of temperatures of the same size (interpreted as pairs).  Return -1 if a P and T are unequal vector dimensions greater than 1.</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>Note: convert values to </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>kg/m^3</w:t></w:r></w:customXml><w:r><w:t>.</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>Note:</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>See </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/56328-molar-air-density-from-temperature-and-pressure\"><w:r><w:t>Problem 56328. Molar Air Density from Temperature and Pressure</w:t></w:r></w:hyperlink><w:r><w:t> for explanation of how to find the molar density of air can be found from the Temperature and Pressure using the ideal gas law.</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: 288px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 144px; transform-origin: 407px 144px; 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="">The density of air can be estimated from the product of molar mass and molar density:</span></span></div><div style="block-size: 22.5px; 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 11.25px; text-align: left; transform-origin: 384px 11.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="86" height="20" style="width: 86px; height: 20px;"></span></div><div style="block-size: 22.5px; 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 11.25px; text-align: left; transform-origin: 384px 11.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="130" height="20" style="width: 130px; height: 20px;"></span></div><div style="block-size: 84px; 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 42px; text-align: left; transform-origin: 384px 42px; 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 finds the density of air in kg per cubic meter, for input temperature (in Kelvin) and pressure (in mb).  This function should allow: a single input temperature and pressure pair, a single temperature and vector of pressures, a single pressure and and a vector of temperatures, a vector of pressures and a vector of temperatures of the same size (interpreted as pairs).  Return -1 if a P and T are unequal vector dimensions greater than 1.</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="">Note: convert values to </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="40" height="19" style="width: 40px; height: 19px;"></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="">.</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="">Note:</span></span></div><div style="block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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="">See </span></span><a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/56328-molar-air-density-from-temperature-and-pressure"><span style=""><span style="">Problem 56328. Molar Air Density from Temperature and Pressure</span></span></a><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 explanation of how to find the molar density of air can be found from the Temperature and Pressure using the ideal gas law.</span></span></div></div></div>

Solve

Solution Stats

170 Solutions
60 Solvers

Last Solution submitted on Mar 24, 2023

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Rafael S.T. Vieira on 29 Oct 2022

Each problem should be self-contained. Requiring the users to go to different places even within the same site may create inconsistencies years later when not even you remember about it anymore.

Problem Recent Solvers60

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 56333. Air Density from Temperature and Pressure

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers60

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Problem 56333. Air Density from Temperature and Pressure

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers60

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Players