- #1

fluidistic

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## Homework Statement

Two particular systems separated by a diathermic wall have the following equations of state:

[itex]\frac{1}{T^{(1)}}=\frac{3}{2}R \frac{N^{(1)}}{U^{(1)}}[/itex]

[itex]\frac{1}{T^{(2)}}=\frac{5}{2}R \frac{N^{(1)}}{U^{(2)}}[/itex] where R=1.986 cal/mol K, [itex]N^{(1)}=2[/itex] and [itex]N^{(1)}=3[/itex].

## Homework Equations

Euler relation in entropy representation: [itex]S=\sum _j F_j X_j[/itex]. In energy representation: [itex]U=TS+\sum _j P_j X_j[/itex].

Gibbs-Duhem relation under the entropy and energy form respectively: [itex]\sum _j X_j dF_j=0[/itex], [itex]SdT+\sum _j X_j dP_j =0[/itex].

## The Attempt at a Solution

I simply don't know what formula to use and how exactly. Here they don't give the pressure so this seems really hard to use any formula. I don't know if I can use the ideal gas relations [itex]PV=nRT[/itex] and [itex]U=KT+U_0[/itex], they don't say anything about the gases.

I realize that V is constant.

Any help on getting me started will be appreciated!