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MHT CET Chemistry Thermodynamics (C) 2026 MHT CET 2026 (17 April Shift 2)

MHT CET Chemistry Question (2026) — Solution

Question

Calculate the quantity of heat released from system when 2 moles of and ideal gas compressed isothermally from volume 25 dm ^3 to 10 dm ^3 at constant external pressure 4 bar.

Options

  1. A. 5 5 kJ
  2. B. 5 0 kJ
  3. C. 6 5 kJ
  4. D. 6 0 kJ

Answer

D. 6 0 kJ

Step-by-step solution

For an isothermal process of an ideal gas, the change in internal energy U = 0. From the first law of thermodynamics: U = q + w q = -w The work done during irreversible compression at a constant external pressure is given by: w = -P_ ext V = -P_ ext (V_2 - V_1) Given: P_ ext = 4 bar V_1 = 25 dm ^3 V_2 = 10 dm ^3 Substituting the values: w = -4 (10 - 25) = 60 bar dm ^3 Since 1 bar dm ^3 = 100 J : w = 60 100 J = 6000 J = 6.0 kJ Therefore, q = -6.0 kJ . The quantity of heat released from the system is 6.0 kJ . Answer: 6 0 kJ

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