Use the Gibbs equation dE D T dS ? P dV C 1 dN1 C C n dNn an
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Use the Gibbs equation dE D T dS ? P dV C 1 dN1 C C n dNn and the fact that, being additive in its extensive variables,
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Use the Gibbs equation dE D T dS ? P dV C 1 dN1 C C n dNn and the fact that, being additive in its extensive variables, E D E.S; V; N1;:::;Nn/ is necessarily homogeneous of degree 1, to establish the Gibbs-Duhem equation 0 D S dT ? V dP C N1 d 1 C C Nn d n: (Hint: Use Euler
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