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Consider taking the Legendre transform of the energy, E(S,V,N), with respect to S, V, and N, to get a new thermodynamic potential, X(T.p,u). (a) Show that X(T.p,µ) is identically zero. (b) What does this imply about the variables T, p, and µ? Where have you already seen this result before?

Consider taking the Legendre transform of the energy, E(S,V,N), with respect to S, V, and N, to get a new thermodynamic potential, X(T.p,u). (a) Show that X(T.p,µ) is identically zero. (b) What does this imply about the variables T, p, and µ? Where have you already seen this result before?

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It's a thermodynamics question.

Consider taking the Legendre transform of the energy, E(S,V,N), with respect to S, V, and N, to get a new thermodynamic potential, X(T.p,u). (a) Show that X(T.p,µ) is identically zero. (b) What does this imply about the variables T, p, and µ? Where have you already seen this result before?
Transcribed Image Text:Consider taking the Legendre transform of the energy, E(S,V,N), with respect to S, V, and N, to get a new thermodynamic potential, X(T.p,u). (a) Show that X(T.p,µ) is identically zero. (b) What does this imply about the variables T, p, and µ? Where have you already seen this result before?
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