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 
.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A diatomic gas does 100 J of work when it is expanded isobarically. Then the heat given to the gas…
A thermodynamic system is taken through the cyclic process as shown in the figure. The total work …
When 300 J of heat given to an ideal gas with its temperature raises from to keeping its volume …
An insulated cylinder of volume is filled with a gas at and 2 atmospheric pressure. Then the gas …
10 mole of oxygen is heated at constant volume from to . The change in the internal energy of the…
10 mole of an ideal gas is undergoing the process shown in the figure. The heat involved in the pro…