Q17 / 90 · JEE Main 2019 (10 Jan Shift 2) · Chemistry

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:

  • Correct answer
    A
    23 K
  • B
    1 K
  • C
    32 K
  • D
    2 K

Solution

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

Hence, the correct answer is option: 'A'.

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