One mole of an ideal monoatomic gas, initially at temperature $$T$$, is compressed to $$\frac18$$ of its volume by a piston in a cylinder such that the heat dissipated into the environment is equal to the change in the internal energy of the gas. Then the

A

molar heat capacity of the gas is $$C=\frac{3R}{2}$$

B

final temperature of the gas is $$2T$$

C

work done on the gas is $$3RT$$

D

equation of state of the process is $$PV^{4/3}=\text{constant}$$