Derive the following Maxwell relations for open systems a Starting from Eq 6 2 5a, b Starting from Eq 6 2 6a, c Starting from Eq 6 2 7a, d Starting from Eq 6 2 8a, () HT ON (0) aN S, N S,V S,V AS V, N G as V, N ( ) AG aV S, N...

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Derive the following Maxwell relations for open systems. a. Starting from Eq. 6.2-5a, b. Starting from Eq.

Derive the following Maxwell relations for open systems.

a. Starting from Eq. 6.2-5a,

(). HT ON (0) aN S, N S,V S,V AS V, N G as V, N - ( ). AG aV S, N

dU = TdS - PdV+ GdN (6.2-5a)

b. Starting from Eq. 6.2-6a,

(). T ON (). S, N S, P S, P ' = ( ) , AS OG as P,N P,N S, N

dH = dU + V d + P dV = T dS - P dV + G dN + V d + P dV = T dS + V dP + G dN (6.2-6a)

c. Starting from Eq. 6.2-7a,

T,N V, N (5) r. - (r). - (), as G ON (), T,V T,V = G () aV V, N T,N dA = -P dV - S dT + G dN (6.2-7a)

d. Starting from Eq. 6.2-8a,

$( ( as AS T,N ). ). an, aV AN T,P T,P - ( ), T OG \\, G P,N P,N T,N$

dGV dP - SdT+GdN (6.2-8a)

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ISBN: 9780470504796

5th Edition

Authors: Stanley I. Sandler

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Question Posted: Nov 17, 2023 08:13 AM

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