Q4. Variation of chemical potential with temperature and pressure
How does chemical potential vary with temperature and pressure? Derive the relevant equations.
Answer in brief
(∂μi/∂T)P,n = −S̄i: μ falls on heating, fastest for a gas; (∂μi/∂P)T,n = V̄i: μ rises with pressure; ideal gas μ = μ° + RT ln(P/P°).
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Coverschemical potentialpartial molar entropypartial molar volumeGibbs–Helmholtz equationClapeyron equation