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+1 vote
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in Physics by (19.5k points)

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) \(\frac{2}{3}RT(\sqrt2- 1)\) 

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