# Thermodynamics

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Suppose that Beta = (v-a)/T and kappa = 3(v-a)/4P

Show that the equation of state is

P^3/4 (v-a) = AT,

Where a and A are constants.

[attachment is copy of problem written with symbols]

© BrainMass Inc. brainmass.com December 24, 2021, 8:21 pm ad1c9bdddfhttps://brainmass.com/physics/heat-thermodynamics/thermodynamic-equations-beta-kappa-269156

## SOLUTION This solution is **FREE** courtesy of BrainMass!

Given: κ = -1/V dV/dP = (3(V-a))/4P

Given: β = 1/V dV/dT = ((V-a))/T

Or, 1/a log V/((V-a))=log(1/T)

[HINT: On combining the above two equations the required equation of state is obtained]

© BrainMass Inc. brainmass.com December 24, 2021, 8:21 pm ad1c9bdddf>https://brainmass.com/physics/heat-thermodynamics/thermodynamic-equations-beta-kappa-269156