Ideal Gas Law Temperature Formula |
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\( T \;=\; \dfrac{ p \cdot V }{ n \cdot R }\) (Ideal Gas Law Temperature) \( p \;=\; \dfrac{ n \cdot R \cdot T }{ V }\) \( V \;=\; \dfrac{ n \cdot R \cdot T }{ p }\) \( n \;=\; \dfrac{ p \cdot V }{ R \cdot T }\) \( R \;=\; \dfrac{ p \cdot V }{ n \cdot T }\) |
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| Symbol | English | Metric |
| \( T \) = Gas Temperature | \( R \) | \( K \) |
| \( p \) = Gas Pressure | \(lbf\;/\;in^2\) | \(Pa\) |
| \( V \) = Gas Volume | \( in^3 \) | \( mm^3 \) |
| \( n \) = Number of Moles of Gas | \(dimensionless\) | \(dimensionless\) |
| \( R \) = Specific Gas Constant (Gas Constant) | \(ft-lbf\;/\;lbm-R\) | \(J\;/\;kg-K\) |
The ideal gas law, expressed as PV=nRT, can be rearranged to solve for the temperature of a gas. This form of the equation illustrates that the absolute temperature of an ideal gas is directly proportional to the product of its pressure and volume, and inversely proportional to the number of moles of the gas. The universal gas constant serves as the proportionality factor. Consequently, for a fixed amount of gas, an increase in either pressure or volume, or both, will lead to a higher temperature. Conversely, a decrease in pressure or volume will result in a lower temperature.
