Making use of the fact that Eq. (6.20) is an exact differential expression, show

Question

Making use of the fact that Eq. (6.20) is an exact differential expression, show that: (partial CP/partial P)T = -T(partial2 V/partial T2)P What is the result of application of this equation to an ideal gas? Heat capacities CV and CP are defined as temperature derivatives respectively of U and H. Because these properties are related, one expects the heat capacities also to be related. Show that the general expression connecting CP to CV is: CP = CV + T (partial P / partial T)V (partial V / partial T)P Show that Eq. (B) of Ex. 6.2 is another form of this expression.

Explanation / Answer

http://www.mem.odu.edu/webnotes/webnotes-11.pdf see page no 11 equation 11.53 rate it if u find it useful

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