question_answer

The equation of state for a gas is given by PV = nRT + aV, where n is the number of moles and a is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are \[{{T}_{o}}\]and \[{{P}_{o}}\]respectively. The work done by the gas when its temperature doubles isobarically will be:                            [JEE ONLINE 09-04-2014]

A) \[\frac{{{P}_{o}}{{T}_{o}}R}{{{P}_{o}}-\alpha }\]     

B)      \[\frac{{{P}_{o}}{{T}_{o}}R}{{{P}_{o}}+\alpha }\]

C) \[{{P}_{o}}{{T}_{o}}R\ln 2\]   

D)      \[{{P}_{o}}{{T}_{o}}R\]