A gas is enclosed in a cylinder with a movable frictionless piston. Its initial…

Chemistry · JEE Advanced · NTA ExamsChemical Thermodynamics

A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure Pi = 105 Pa and volume Vi = 10–3 m3 changes to a final state at Pf = (1/32) × 105 Pa and Vf = 8 × 10–3 m3 in an adiabatic quasi-static process, such that P3V5 = constant. Consider another thermodynamic process that brings the system from the same initial state to the same final state in two steps : an isobaric expansion at Pi followed by an isochoric (isovolumetric) process at volume Vf. The amount of heat supplied to the system in the two-step process is approximately
  1. 112 J
  2. 294 J
  3. 588 J
  4. 813 J

Answer

(C) 588 J

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