A gas is governed by an equation `V=(aT^(3))/(P)` where P,V and T are pressure, volume and temperature of the gas respectively and .a. is a constant. If the temperature of the gas is doubled at constant pressure then the workdone by the gas is

Options

A. `6aT^(3)`
B. `8aT^(3)`
C. `9aT^(3)`
D. `7aT^(3)`

Answer

D