sandler_sm_06_10

# sandler_sm_06_10 - 6 6.10(a We start by using the method of...

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6.10 (a) We start by using the method of Jacobians to reduce the derivatives ∂∂ T V TH VH TP TV HT PT VT HV H P PV dH T H T T V T V F H G I K J = () = =− F H G I K J , , , , , , , , , , ,, af Now from Table 6.1 we have that H P V T F H G I K J F H G I K J and H T CV T V T P T VP V F H G I K J =+− F H G I K J L N M O Q P F H G I K J P alternatively, since HUP V =+ H T U T T dP dT VV V V F H G I K J = F H G I K J + F H G I K J F H I K V Thus T V PVVTV T CVPT VPV TPT H V V F H G I K J = −− + = −+ + afaf Note: I have used P V V T P T V F H G I K J F H G I K J F H G I K J . T V TS VS ST SV S V T S T C P T S V F H G I K J = = = F H G I K J F H G I K J F H G I K J , , , , , , , , , , V (b) For the van der Waals fluid P T R Vb V F H G I K J = , P V RT a V T F H G I K J = + 23 2 Thus

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T V RTV V b a V RT V b CV R V b H F H G I K J = −− () ++− +− 22 2 ns V after simplification we obtain T V aV b RTV b CV bV RV bV H F H G I K J = ()+− 2 3 C and T V RT CV b S F H G I K J =− V
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## This note was uploaded on 10/22/2011 for the course ENG 101 taught by Professor Yukov during the Spring '11 term at UCLA.

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sandler_sm_06_10 - 6 6.10(a We start by using the method of...

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