The fugacity of a monatomic gas is found to obey the relation f $($T$,$ P$)=$ P exp$($bT$),$

where b is a constant with units of inverse temperature. Find c$\_$P and c$\_$V for this gas.

Answer:

$9\mathrm{.}13,c_V=k_B(\frac{3}{2}-2bT),c_P=k_B(\frac{5}{2}-2bT)$

Tip: Relate the entropy to the chemical poten$3$al$.$

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