question_answer

During an adiabatic compression, 830 J of work is done on 2 moles of a diatomic ideal gas to reduce its volume by 50%. The change in its temperature is nearly: \[(R=8.3J{{K}^{-1}}mo{{l}^{-1}})\]                                [JEE ONLINE 11-04-2014]

A)  40 K    

B)       33 K

C)  20 K    

D)                   14 K

Correct Answer: C

Solution :

[c] Given : work done, W = 830 J

No. of moles of gas,

For diatomic gas

Work done during an adiabatic change