A reversible cyclic process for an ideal gas is shown below. Here, P , V , a n d T are pressure, volume and…

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

The correct option(s) is (are)

  1. qAC=UBC and wAB=P2V2-V1
  2.  wBC=P2V2-V1 and qBC=HAC 
  3. HCA<UCA and qAC=UBC
  4.   qBC=HAC and HCA>UCA

Solution

AC → Isochoric
AB → Isothermal
BC → Isobaric
#qAC=UBC=nCVT2-T1
WAB=nRT1lnV2V1 A (wrong)
#qBC=HAC=nCPT2-T1
WBC=-P2V1-V2 B (correct)
#nCPT1-T2<nCVT1-T2 C (correct)
HCA<UCA
#D (wrong)

Asked in: JEE Advanced 2018 (Paper 1)

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