question_answer

A certain diatomic gas has the same specific heats as an ideal gas but a slightly different equation of state:\[PV=R(T+\alpha {{T}^{2}}),\]\[\alpha =0.001{{K}^{-1}}.\]The temperature of the gas is raised from \[{{T}_{1}}=300K\]to \[{{T}_{2}}\] at constant pressure. It is found that work done on the gas is 70% higher than what would be on an ideal gas. Choose the correct statement(s).

A) \[{{T}_{2}}=400K,\]internal energy increases by 250R per mole.

B) \[{{T}_{2}}=400K,\]internal energy increases by 350R per mole.

C) Total heat absorbed in the process is 450R per mole.

D) Total heat absorbed in the process in 520R per mole.