A polytropic process of air from 1034 kPa, 149 oC and 0.028 m3 occurs to 138 kPa in accordance with pV1.3 = C. Determine (a) t2 in oC and V2, (b) U and H, (c) Wnf, (d) the heat from the formula using polytropic specific heat.
a)
T2=T1(p2p1)1−1γ=265 K=−8°C,T_2=T_1(\frac{p_2}{p_1})^{1-\frac 1{\gamma}}=265~K=-8°C,T2=T1(p1p2)1−γ1=265 K=−8°C,
b)
A=p1V1γ−1(1−(p2p1)1−1γ)=35.8 kPa.A=\frac{p_1V_1}{\gamma-1}(1-(\frac{p_2}{p_1})^{1-\frac 1{\gamma}})=35.8~kPa.A=γ−1p1V1(1−(p1p2)1−γ1)=35.8 kPa.
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