The pressure p, volume V and temperature `T` for a certain gas are related by `p=(AT-BT^2)/V` , where A and B are constants. The work done by the gas when the temperature change from `T_1` to `T_2` while the pressure remains contant, is given by

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