The equation of state for a gas is given by PV = nRT + α V , where n is the number of moles and α is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cyl

Question

The equation of state for a gas is given by PV = nRT + α V , where n is the number of moles and α is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are T 0 and P 0 respectively. The work done by the gas when its temperature doubles isobarically will be :

TestHub · Accepted Answer

PV = nRT + α V P 0 dV dT = R + α dV dT P 0 - α dV dT = R ∴ dV = RdT P 0 - α ∴ W = ∫ P 0 dV = ∫ T 0 2 T 0 P 0 R P 0 - α dT = P 0 T 0 R P 0 - α

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion