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Description	<div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">When converting the mass flow rate of a gas fluid into a volumetric flow rate, can easily calculate it if know the density at the corresponding pressure and temperature. If do not know the density, we can convert it using the ideal gas equation of state. If we translate the equation of state for an ideal gas into a volumetric flow rate, it is as follows.</div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;"><br></div><h2 style="margin: 0px; position: relative; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-variant-position: normal; font-weight: bold; font-stretch: normal; font-size: 14px; line-height: normal; font-family: "Trebuchet MS", Trebuchet, sans-serif; color: rgb(0, 0, 0);"><span style="font-family: Consolas;">Formula of </span><span style="font-family: Consolas;">EOS</span></h2><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;"><br>Equation of state for an ideal gas</div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;"><br><b>P * V = n * R * T<br></b><b>P * V = w / Mw * R * T<br></b><b>P * Q = m / Mw * R * T<br></b><b>Q = (m / Mw * R * T) / P</b><br><br></div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">Here,</div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">P     : pressure of gas<br>V     : volume of gas <br>Q     : volumetric flow rate of gas<br>w     : wight of gas<br>Mw    : molecular weight<br>m     : mass flow rate of gas<br>R     : gas constant<br>T     : temperature of gas<br><br></div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">Different gas constants must be used depending on the various units.<br><br></div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">Universal gas constant R </div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;"><br><span style="color: rgb(128, 1, 128);"><b>0.082 atm-l/mol-°K</b></span><br>8.314 kJ/kgmol-°K<br>8.314 kPa-m3/kgmol-°K<br>1.987 Btu/lbmol-°R<br>1,545 lbf-ft/lbmol-°R<br><span style="color: rgb(128, 1, 128);"><b>10.73 psia-ft3/lbmol-°R</b></span><b style="color: rgb(128, 1, 128);"> (1 bar = 100 kPa)</b><br><br></div><h2 style="margin: 0px; position: relative; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-variant-position: normal; font-weight: bold; font-stretch: normal; font-size: 14px; line-height: normal; font-family: "Trebuchet MS", Trebuchet, sans-serif; color: rgb(0, 0, 0);"><span style="font-family: Consolas;">Example of conversion</span></h2><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;"><br></div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">When using bar, m3, kg, kgmol, °C, and °K units, if the flow meter design temperature is 0 °C, converting the mass flow rate to volumetric flow rate is:<br><br></div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">P * V = n * R * T</div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">1 bar * 22.4 m3 = 1 kg-mol * 0.08314 bar-m3/kgmol-°K * 273°K<br>Q = (m / Mw * R * T) / P <br>Q = (m / Mw * 0.08314 bar-m3/kgmol-°K * 273°K) / 1 bar<br>Q = m * 22.4 / Mw<br><br></div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">For example, Nitrogen 1,000 kg/hr mass flow is<br><b>Q = m * 22.4 / Mw</b> = 1000 * 22.4 / 28 = 800</div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;"><br>Converted to 800 Nm3/hr volumetric flow.<br>When using psia, ft3, lb, lbmol, °F, and °R units, if the flow meter design temperature is 60 °F, converting the mass flow rate to volumetric flow rate is:<br><br></div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">P * V = n * R * T<br>14.7 psia * 379.565 ft3 = 1 lbmol * 10.73 psia-ft3/lbmol-°R * 520 °R<br>Q = (m / Mw * R * T) / P <br>Q = (m / Mw * 10.73 psia-ft3/lbmol-°R * 520 °R) / 14.7 psia<br>Q = m * 379.565 ft3 / Mw<br><br></div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">For example, Nitrogen 1,000 lb/hr mass flow is<br><b>Q = m * 379.565 / Mw</b> = 1000 * 379.565 / 28 = 13,556<br>Converted to 13,556 SCFH (standard ft3/hr) volumetric flow.</div><blockquote style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px; border: none; margin-bottom: 0px; margin-left: 40px; padding: 0px;"></blockquote><blockquote style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px; border: none; margin-bottom: 0px; margin-left: 40px; padding: 0px;"></blockquote><blockquote style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px; border: none; margin-bottom: 0px; margin-left: 40px; padding: 0px;"></blockquote><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;"><br><div>Here, <br></div></div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;"><span style="color: rgb(128, 1, 128);"><b>0.08314 bar-m3/kgmol-°K (1 bar = 100 kPa)</b></span></div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;">1.987 Cal/mol-°K</div><div style="color: rgb(68, 68, 68); font-family: Consolas; font-size: 15px;"><br></div>