Published by:
CGP EDU Academic Team
Published on: September 13, 2026
One mole of an ideal diatomic gas expands from volume 
to 2 V isothermally at a temperature 
and does 
joule of work. If the gas undergoes same magnitude of expansion adiabatically from 
doing the same amount of work 
, then its final temperature will be (close to) 
. 
Text Solution
Verified by ExpertsThe correct answer is:
D
For isothermal expansion of 1 mole diatomic gas from V to 2 V at 300 K :
For adiabatic expansion with same volume change and same work output:
For diatomic gas, 
. Setting work equal:
Simplifying:
, so 
, giving 
.
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