Verified Solution • 2025–26 Session moderate

QJEEM19Ch759c: JEE Main 2019 Chemistry - Class 11 JEEM19Ch759c Solution: An ideal gas undergoes isothermal compression from 5m 3 to 1 m…

An ideal gas undergoes isothermal compression from 5m3 to 1 m3 against a constant external pressure of 4 Nm–2. Heat released in this process is used to increase the temperature of 1 mole of Al. If molar heat capacity of Al is 24 J mol–1 K–1, the temperature of Al increases by :

Multiple Choice Options

  • A 23K{2 \over 3}K
  • B 32K{3 \over 2}K
  • C 1 K
  • D 2 K

Step-by-Step Verified Solution

Work done on isothermal irreversible for ideal gas

= −- Pext (V2 −- V1)

= −- 4 N/m2 (1 m3 −- 5m3)

= 16 Nm

Isothermal process for ideal gas

Δ\Delta U = 0

q = −- w

= −- 16 Nm

= −- 16 J

Heat used to increase temperature of Al

q = n Cm Δ\Delta T

16 J = 1 ×\times 24 Jmol.K{J \over {mol.K}} ×\times Δ\Delta T

Δ\Delta T = 23{2 \over 3} K

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