The pressure and volume of an ideal gas are related as $$PV^{3/2} = K$$ (Constant). The work done when the gas is taken from state $$A(P_1, V_1, T_1)$$ to state $$B(P_2, V_2, T_2)$$ is :

A

$$2(P_1V_1 - P_2V_2)$$

B

$$2(P_2V_2 - P_1V_1)$$

C

$$2\sqrt{P_1V_1} - \sqrt{P_2V_2}$$

D

$$2P_2\sqrt{V_2} - P_1\sqrt{V_1}$$