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The diagram in the figure (Figure 1) shows a cycle of a heat engine that uses 0.

ID: 2214832 • Letter: T

Question

The diagram in the figure (Figure 1) shows a cycle of a heat engine that uses 0.250 mole of an ideal gas having The curved part of the cycle is adiabatic.

B)How much heat enters this gas per cycle? I know this is 5470J

C)Where does the entering of heat happen? This is c -> a

D)How much heat leaves this gas in a cycle? (Joules)

E)Where does the leaving of heat of this gas occur? This is b -> c

F)How much work does this engine do in a cycle? (Joules)

G)What is the thermal efficiency of the engine? (%)

Explanation / Answer

D)c-b is the heat leaving process at constant pressure

it needs to be known if the gas considered is monoatomic/diatomic

for monoatomic gases Cp=2.5R,Cv=1.5R

for diatomic Cp=3.5R,Cv=2.5R

Q=n*Cp*T=0.250*(Tc-Tb)*Cp ; Tc=Pc*Vc/n*R ; Tb=Pb*Vb/n*R Tc<Tb==>heat release

F)Q=U+W

for a complete cycle U=0 initial and final states being the same

Q=W

Q=Qbc+Qca = W

G)thermal efficiency = W/Qca(input,absorbed)