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6.30 - 6 6.30 For an isothermal process involving a fluid...

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6.30 For an isothermal process involving a fluid described by the Redlich-Kwong equation of state develop expressions for the changes in (a) internal energy, (b) enthalpy, and (c) entropy in terms of the initial temperature and the initial and final volumes. For your information, the Redlich-Kwong equation of state is P RT Vb a TV V b = ⋅⋅ + () and dx xx c c x xc + = + F H I K z 1 ln dU T P T PdV T R at TV RT a TVVb dV adV TV V b UTV a T dV VV b a Tb V V V V V = F H G I K J L N M M O Q P P =⋅ + + + L N M O Q P = + −= + =− + + L N M O Q P z 12 2 22 32 21 2 2 1 1 1 2 a f a f a f ,, l n HTV PV a V V RT V V a T VbVb ,,,, ln 2121 2 2 11 2 1 1 2 2 2 1 1 2 afafaf af a f −=−+ + + L N M O Q P + L N M O Q P + + L N M O Q P

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dS P T dV R Vb a TV dV STV R a Tb V V V = F H G I K J = + + () L N M O Q P −= +⋅ + + L N M O Q P 2 2 32 21 2 1 2 1 1 2 ,, l n l n af a f G T VG T V H T VT S T T S T V a V V RT V V a T VbVb RT a V V a V V ,, , , , , ln ln ln ln 2 122 1 2 1 1 2 2 2 1 1 2 1 2 1 1 2 2
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6.30 - 6 6.30 For an isothermal process involving a fluid...

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