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A heat engine having an ideal monatomic gas as a working substance has a cycle c

ID: 2230639 • Letter: A

Question

A heat engine having an ideal monatomic gas as a working substance has a cycle consisting of the following three processes: isobaric expansion at 200 kPa with volume change from 0.10 m3 (point A) to 0.23 m3 (point B), an isovolumetric process at 0.23 m3 with pressure change from 200 kPa to 50.0 kPa (point C), and an adiabatic process. The temperature at the beginning of the isobaric process is 300 K. What is the work done by the engine for each process and the amount of heat flowing into or out of the system for each process?

Explanation / Answer

since the process a is isobaric, so the
Va/Ta=Vb/Tb
or Tb=690K
since the process B is isochoric,
Pb/Tb=Pc/Tc
or Tc=172.5 K
Ta=300K given

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