One mole of an monoatomic ideal gas compressed adiabatically from volume 2 V to V. If initial temperature of gas was T then magnitude work done in this process is
(1) \(\frac{3}{2}RT(2^{1/2} -1)\)
(2) \(\frac{3}{2}RT(2^{2/3} -1)\)
(3) \(\frac{2}{3}RT(2^{2/3} -1)\)
(4) \(\frac{2}{3}RT(\sqrt2- 1)\)