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JEE Advanced2018ChemistryThermodynamics (C)Actual

A reversible cyclic process for an ideal gas is shown below. Here, P , V , a n d T are pressure, volume and temperature, respectively. The thermodynamic parameters q , w , H a n d U are heat, work, enthalpy and internal energy, respectively. The correct option(s) is (are)

Options

  1. Aq A C = ∆ U B C a n d w A B = P 2 V 2 - V 1
  2. Bw B C = P 2 V 2 - V 1 a n d q B C = ∆ H A C
  3. C∆ H C A < ∆ U C A a n d q A C = ∆ U B C
  4. Dq B C = ∆ H A C a n d ∆ H C A > ∆ U C A

Correct answer

B. w B C = P 2 V 2 - V 1 a n d q B C = ∆ H A C

Step-by-step solution

AC → Isochoric AB → Isothermal BC → Isobaric # q A C = ∆ U B C = n C V T 2 - T 1 W A B = n R T 1 ln ⁡ V 2 V 1 A (wrong) # q B C = ∆ H A C = n C P T 2 - T 1 W B C = - P 2 V 1 - V 2 B (correct) # n C P T 1 - T 2 < n C V T 1 - T 2 C (correct) ∆ H C A < ∆ U C A # D (wrong)

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