A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure $$P1=105Pa$$ and volume $$Vi=10$$−$$3m3$$ changes to final state at $$Pf=132$$×$$105pa$$&$$Vf=8$$×$$10$$−$$3m3in$$ an adiabatic $$quasi-static$$ process, such that $$P3V5=$$ constant. Consider another thermodynamic process that brings the system form the same initial state to the same final state in two steps: an isobaric expansion at Pi followed by an isochoric (is$$ $$volumetric) process at volumeVf. The amount of heat supplied to the system in the $$two-step$$ process is approximately

Question

A  gas is enclosed in a cylinder with a movable frictionless piston. Its initial  thermodynamic state at pressure $$P1=105Pa$$ and volume $$Vi=10$$−$$3m3$$  changes to  final state at $$Pf=132$$×$$105pa$$&$$Vf=8$$×$$10$$−$$3m3in$$ an adiabatic $$quasi-static$$ process, such that $$P3V5=$$ constant.  Consider another thermodynamic process that brings the system form the same  initial state to the same final state in two steps: an isobaric expansion at Pi followed by  an isochoric (is$$ $$volumetric) process at volumeVf. The amount of heat supplied to the system in the  $$two-step$$ process is approximately

Infinity Learn · Accepted Answer

For adiabatic $$processP3V5=consntPV5/3=consntr=5/3For$$ process ACΔ$$Q1=nCp$$Δ$$T=n52R$$ΔT         $$=52P$$ΔVΔ$$Q1=17.5$$×$$102J=1750JFor$$ process  CDΔ$$Q2=nCv$$Δ$$T=n(32R)=32V$$ΔPΔ$$Q2=3/2$$×$$8$$×$$10$$−$$3$$×$$($$−$$1+132)$$×$$105$$Δ$$Q2=$$−$$11.625$$×$$102$$Δ$$Qnet=1750$$−$$1162=588J$$

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