Pressure P, volume V and temperature T for a certain gas are related by P = xT - T ^ 2 ~V…
Chemistry · NEET · NTA Exams — Chemical Thermodynamics
Pressure P, volume V and temperature T for a certain gas are related by
\(\mathrm{P}=\frac{\mathrm{xT}-\beta \mathrm{T}^{2}}{\mathrm{~V}}\)
where \(\text { II }\) and β are constants. Find the work done by the gas if the temperature changes from \(T_{1} \text { to } T_{2}\) while the pressure remains constant.
- \(\mathbf{W}=\left[T_{\mathbf{2}}-T_{1}\right]\left[\mathbf{x}+\boldsymbol{\beta}\left(T_{\mathbf{2}}+T_{1}\right)\right]\)
- \(\mathbf{W}=\left[T_{\mathbf{2}}-T_{1}\right]\left[\mathbf{x}-\beta^{\mathbf{2}}\left(T_{\mathbf{2}}+T_{1}\right)\right]\)
- \(\mathbf{W}=\left[T_{\mathbf{2}}-T_{1}\right]\left[\mathbf{x}-\beta\left(T_{\mathbf{2}}+T_{1}\right)\right]\)
- none of these
Answer
(C) W = [T_ 2 -T_ 1 ] [ x - (T_ 2 +T_ 1 ) ]
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