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Question: Answered & Verified by Expert
Consider an ideal gas in a closed container at 300 K. The container is then heated so that the average velocity of particles of the gas increases by a factor of 4.  What would be the final temperature?
PhysicsWaves and SoundTS EAMCETTS EAMCET 2021 (05 Aug Shift 1)
Options:
  • A 4500C
  • B 4527C
  • C 4617C
  • D 4600C
Solution:
2002 Upvotes Verified Answer
The correct answer is: 4527C

We know the relation between absolute temperature and average speed of the molecule inside the container is, 

vavgT, it means, 

vavg1vavg2=T1T2vavg14vavg1=300T2T2=4800 K

Now use the relation between centigrade scale and Celsius scale, 

T2=4800-273=4527°C.
 

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