Question #348534

Work done by a substance in reversible nonflow manner in accordance with V=100/p3 ft3 where P in psi. Eavaluate the



work done on or by the substance as the pressure increases from 10 psia to 100 psia.




1
Expert's answer
2022-06-06T08:52:56-0400
W=V1V2pdVW=\int_{V_1}^{V_2}pdV

W=p1p2p(50/p2)dp=50lnp2p1W=\int_{p_1}^{p_2}p(-50/p^2)dp=-50\ln \frac{p_2}{p_1}

=50ln10010=115psiaft3=-50\ln \frac{100}{10}=-115\:\rm psia\cdot ft^3


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