Problem 56343. Partial Pressure of Water Vapor from Relative Humidity

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>Buck (1996, 1981) published the following constants for the saturation pressure of water*:</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_{sat0}=</w:t></w:r></w:customXml><w:r><w:t> 6.1121 (mb)</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>The saturation pressure, </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>P_{sat}</w:t></w:r></w:customXml><w:r><w:t>, in millibars, can be found the Atmospheric Temperature, </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>T</w:t></w:r></w:customXml><w:r><w:t>, given in Celcius:</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>P_{\\mathrm{s}}\\left(T \\right) =P_{sat0} \\exp \\left(\\left( 18.678 - \\frac{T} {234.5}\\right)\\left( \\frac{T} {257.14 + T} \\right)\\right)\n, \\text{over liquid water}, {{T}} &gt; 0 °C</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>P_{\\mathrm{s}}\\left(T \\right) =P_{sat0} \\exp \\left(\\left( 23.036 - \\frac{T} {333.7}\\right)\\left( \\frac{T} {279.82 + T} \\right)\\right)\n, \\text{over ice}, {{T}} &lt; 0 °C</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>The vapor pressure of water (partial pressure of water), </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>P_v</w:t></w:r></w:customXml><w:r><w:t>, in millibars, can be found from the Relative Humidity, </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>RH</w:t></w:r></w:customXml><w:r><w:t>, as a percentage value, and the saturation pressure, </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>P_{sat}</w:t></w:r></w:customXml><w:r><w:t>, in millibars, using:</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>P_{v} = P_{sat}\\left( \\frac{RH}{100\\% } \\right)</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 to calculate the vapor pressure of water given temperature in Celcius and Relative Humidity as a percentage value. The dimensions of input values (either both scalar or both vector) should be the same. If they are not, return a value of -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: For humidifiers and other devices that make conversions, use the vendor contants.</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:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>According to (https://www.engineeringtoolbox.com/relative-humidity-air-d_687.html) Relative humidity (RH) should be within certain limits for control of the health aspect.</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:r><w:t>Bacteri :</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>20 - 70% RH</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:r><w:t>Viruses :</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>40 - 80% RH</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:r><w:t>Fungi :</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>0 - 70% RH</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:r><w:t>Mites :</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>0 - 60% RH</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:r><w:t>Respiratory infections :</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>40 - 50% RH</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:r><w:t>Allergic Rhinitis and Asthma :</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>40 - 60% RH</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:r><w:t>Chemical interactions :</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>0 - 40% RH</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:r><w:t>Ozone production :</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>75 - 100% RH</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:r><w:t>Combined Health Conditions :</w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>40 - 60% RH</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>In general -</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.engineeringtoolbox.com/relative-humidity-d_895.html\"><w:r><w:t>relative humidity for human comfort</w:t></w:r></w:hyperlink><w:r><w:t> </w:t></w:r><w:r><w:t>ranges</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>30 - 60% RH</w:t></w:r><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>Buck, A. L. (1981), </w:t></w:r><w:hyperlink w:docLocation=\"https://doi.org/10.1175/1520-0450(1981)020%3C1527:NEFCVP%3E2.0.CO;2\"><w:r><w:t>\"New equations for computing vapor pressure and enhancement factor\"</w:t></w:r></w:hyperlink><w:r><w:t>,</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>J. Appl. Meteorol.</w:t></w:r><w:r><w:t>,</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>20</w:t></w:r><w:r><w:t>: 1527–1532</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>Buck (1996), </w:t></w:r><w:hyperlink w:docLocation=\"\"><w:r><w:rPr><w:i/></w:rPr><w:t>Buck Research CR-1A User's Manual, Appendix 1.</w:t></w:r></w:hyperlink></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"}]}

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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; ">Buck (1996, 1981) published the following constants for the saturation pressure of water*:</div><ul style="block-size: 21.7px; 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 10.85px; transform-origin: 391px 10.85px; margin-top: 10px; margin-bottom: 20px; "><li style="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; "><img src="data:image/png;base64,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" width="43.5" height="20" style="width: 43.5px; height: 20px;"> 6.1121 (mb)</li></ul><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="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; ">The saturation pressure, <img src="data:image/png;base64,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" width="24" height="20" style="width: 24px; height: 20px;"><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; ">, in millibars, can be found the Atmospheric Temperature, T<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; ">, given in Celcius:</div><div style="block-size: 35px; 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 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img 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" 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" width="435.5" height="35" style="width: 435.5px; height: 35px;"></div><div style="block-size: 45px; 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 22.5px; text-align: left; transform-origin: 384px 22.5px; 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; ">The vapor pressure of water (partial pressure of water), <img src="data:image/png;base64,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" width="16.5" height="20" style="width: 16.5px; height: 20px;"><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; ">, in millibars, can be found from the Relative Humidity, <img src="data:image/png;base64,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" width="25.5" height="18" style="width: 25.5px; height: 18px;"><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; ">, as a percentage value, and the saturation pressure, <img src="data:image/png;base64,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" width="24" height="20" style="width: 24px; height: 20px;"><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; ">, in millibars, using:</div><div style="block-size: 35px; 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 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img src="data:image/png;base64,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" width="108" height="35" style="width: 108px; height: 35px;"></div><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; ">Write a function to calculate the vapor pressure of water given temperature in Celcius and Relative Humidity as a percentage value. The dimensions of input values (either both scalar or both vector) should be the same. If they are not, return a value of -1.</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; ">* Note: For humidifiers and other devices that make conversions, use the vendor contants.</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; "></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; ">According to (https://www.engineeringtoolbox.com/relative-humidity-air-d_687.html) Relative humidity (RH) should be within certain limits for control of the health aspect.</div><ul style="block-size: 183.938px; 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 91.9625px; transform-origin: 391px 91.9688px; margin-top: 10px; margin-bottom: 20px; "><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; ">Bacteri : 20 - 70% RH</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; ">Viruses : 40 - 80% RH</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; ">Fungi : 0 - 70% RH</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; ">Mites : 0 - 60% RH</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; ">Respiratory infections : 40 - 50% RH</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; ">Allergic Rhinitis and Asthma : 40 - 60% RH</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; ">Chemical interactions : 0 - 40% RH</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; ">Ozone production : 75 - 100% RH</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; ">Combined Health Conditions : 40 - 60% RH</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; ">In general -<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; "> <a target='_blank' href = "https://www.engineeringtoolbox.com/relative-humidity-d_895.html">relative humidity for human comfort</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="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; ">ranges<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="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; ">30 - 60% RH<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; ">.</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; ">Buck, A. L. (1981), <a target='_blank' href = "https://doi.org/10.1175/1520-0450(1981)020%3C1527:NEFCVP%3E2.0.CO;2">"New equations for computing vapor pressure and enhancement factor"</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="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="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; ">J. Appl. Meteorol.<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="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="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; ">20<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; ">: 1527–1532</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; ">Buck (1996), <a target='_blank' href = "/#null">Buck Research CR-1A User's Manual, Appendix 1.</a></div></div></div>

Buck (1996, 1981) published the following constants for the saturation pressure of water*:
 6.1121 (mb)
The saturation pressure, , in millibars, can be found the Atmospheric Temperature, , given in Celcius:

The vapor pressure of water (partial pressure of water), , in millibars, can be found from the Relative Humidity, , as a percentage value, and the saturation pressure, , in millibars, using:

Write a function to calculate the vapor pressure of water given temperature in Celcius and Relative Humidity as a percentage value.  The dimensions of input values (either both scalar or both vector) should be the same.  If they are not, return a value of -1.
* Note: For humidifiers and other devices that make conversions, use the vendor contants.

According to (https://www.engineeringtoolbox.com/relative-humidity-air-d_687.html) Relative humidity (RH) should be within certain limits for control of the health aspect.
Bacteri : 20 - 70% RH
Viruses : 40 - 80% RH
Fungi : 0 - 70% RH
Mites : 0 - 60% RH
Respiratory infections : 40 - 50% RH
Allergic Rhinitis and Asthma : 40 - 60% RH
Chemical interactions : 0 - 40% RH
Ozone production : 75 - 100% RH
Combined Health Conditions : 40 - 60% RH
In general - relative humidity for human comfort ranges 30 - 60% RH.
Buck, A. L. (1981), "New equations for computing vapor pressure and enhancement factor", J. Appl. Meteorol., 20: 1527–1532
Buck (1996), Buck Research CR-1A User's Manual, Appendix 1.

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Armando Longobardi on 18 Oct 2022

Typo: 'Celcius'-->'Celsius'

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Problem 56343. Partial Pressure of Water Vapor from Relative Humidity

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