Pressure P, volume V and temperature T for a certain gas are related by `P=(AT-BT^(2))/(V)`, where A and B are constatns .The work done by the gas as its temperature change from `T_(1)` to `T_(2)` while pressure remaining constatn is

Options

A. `A(T_2-T_1)+B(T_2^2-T_1^2)`
B. `A(T_2-T_1)/(V_2-V_1)(B(T_2^2-T_1^2))/(V_2-V_1)`
C. `A(T_2-T_1)-B(T_2^2-T_1^2)`
D. `(A(T_2-T_2^2))/(V_2-V_1)`

Answer

C