Answer to Question #348534 in Molecular Physics | Thermodynamics for JmC

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=\\int_{V_1}^{V_2}pdV"

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

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


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