Question

The specific Helmholtz free energy of a particular gas is [ f=c T^{2}-frac{a}{v}-R T ln (v-b) ] where ( a, b ) and ( c ) are constants. Calculate the pressure of the gas in terms of ( T ) and ( v ).

          The specific Helmholtz free energy of a particular gas is
[
f=c T^{2}-frac{a}{v}-R T ln (v-b)
]
where ( a, b ) and ( c ) are constants. Calculate the pressure of the gas in terms of ( T ) and ( v ).

$The specific Helmholtz free energy of a particular gas is [ f=c T^2-fracav-R T ln (v-b) ] where ( a, b ) and ( c ) are constants. Calculate the pressure of the gas in terms of ( T ) and ( v ).$

Added by Robert N.

Thermodynamics: An Engineering Approach

Yunus A. Cengel, Michael A. Boles 9th Edition

Chapter 12

Instant Answer

Solved by Expert Adriano Chikande

05/01/2022

Step 1

Step 1: Calculate the derivative of the given Helmholtz free energy expression with respect to V at constant temperature: \[ \frac{dF}{dV} = -a + \frac{RT}{v - b} \] Show more…

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The specific Helmholtz free energy of a particular gas is f = cT^2 - a/v - RT ln(v - b) where a, b and c are constants. Calculate the pressure of the gas in terms of T and v.