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Question: Answered & Verified by Expert
An ideal gas undergoes isothermal compression from 5 m3 to 1 m3 against a constant external pressure of 4 N m-2. The heat released in this process is 24 J mol-1K-1 and is used to increase the pressure of 1 mole of Al. The temperature of Al increases by:
ChemistryThermodynamics (C)JEE MainJEE Main 2019 (10 Jan Shift 2)
Options:
  • A 23 K
  • B 1 K
  • C 32 K
  • D 2 K
Solution:
1689 Upvotes Verified Answer
The correct answer is: 23 K
Work done on isothermal irreversible compression for an ideal gas:

W=-4 1-5=16 J

For an isothermal process,∆U=0

q=-16J; heat released is 16 J.

q=nCmΔT

16=1×24×T

T=23 K

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