engineering recuitment GATE ME 2023-24 Test Series Thermodynamics Thermodynamic Relations Entropy Equations (Tds Equations)
Over a certain small range of pressure and temperature, the equation of state of a certain substance is given with reasonable accuracy by the relation
\(V = \frac{{RT}}{P} - \frac{C}{{{T^2}}}\)
Where C is a constant.
What will be the expression for the change in enthalpy of this substance in an isothermal process
1
\(\frac{{ - 3C}}{{{T^2}}}{\left( {{V_2} - {V_1}} \right)_T}\)
2
\(\frac{{ - 3C}}{{{T^2}}}{\left( {{P_2} - {P_1}} \right)_T}\)
3
\(\frac{{ - 4C}}{{{T^3}}}{\left( {{P_2} - {P_1}} \right)_T}\)
4
\(\frac{{ - 3C}}{{{T^2}}}{\left( {{P_2} + {P_1}} \right)_T}\)