Consider an ideal gas (pv = RT ) and address the following. Your answers may contain p, v, T, cp, R. a) Find the relationship describing how the enthalpy varies with pressure at a constant temperature, i.e., determine the functional form of (∂h/∂p)T b) Find a relationship for how the entropy varies with pressure at a constant temperature, i.e., (∂s/∂p)T  For the next two parts, now consider a gas that is described by the following truncated virial equation-of-state: Z = (pv/RT) = 1 + B′p + C′p2 where B′ and C′ and constant, temperature-independent parameters. Address the following. Your answers may contain p, v, T, cp, B′, C′.   c) Find a relationship for (∂h/∂p)T d) Find a relationship for (∂s/∂p)T

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Consider an ideal gas (pv = RT ) and address the following. Your answers may contain p, v, T, cp, R.

a) Find the relationship describing how the enthalpy varies with pressure at a constant temperature, i.e.,
determine the functional form of (∂h/∂p)T

b) Find a relationship for how the entropy varies with pressure at a constant temperature, i.e.,
(∂s/∂p)T 

For the next two parts, now consider a gas that is described by the following truncated virial equation-of-state:
Z = (pv/RT) = 1 + B′p + C′pwhere B′ and C′ and constant, temperature-independent parameters.
Address the following. Your answers may contain p, v, T, cp, B′, C′.
 
c) Find a relationship for (∂h/∂p)T
d) Find a relationship for (∂s/∂p)T
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