There are compressed isothermally 22 m3 of air measured at 27oC and 1378 kPa. If p2 = 3790 kPa, compute (a) the heat (gain or loss?), (b) the change in entropy.
V2=V1p1p2=8 m3,V_2=V_1\frac{p_1}{p_2}=8~m^3,V2=V1p2p1=8 m3,
a)
Q=A=p1V1lnV2V1=31 MJ,Q=A=p_1V_1\ln\frac{V_2}{V_1}=31~MJ,Q=A=p1V1lnV1V2=31 MJ,
b)
ΔS=QT1=102 kJK.\Delta S=\frac Q{T_1}=102~\frac{kJ}K.ΔS=T1Q=102 KkJ.
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