Maxwell's relation and it's application
Maxwell's relation and it's application Maxwell's relations are a set of four equations that relate the partial derivatives of thermodynamic properties with respect to two independent variables such as pressure, volume, temperature, and entropy. These relations are named after the Scottish physicist James Clerk Maxwell, who first derived them in the 19th century. The four Maxwell relations are: ∂S/∂V = (∂P/∂T)_V ∂S/∂T = (∂C_P/∂V)_T ∂H/∂T = (∂C_P/∂P)_T ∂H/∂P = (∂V/∂T)_P where S is the entropy, V is the volume, P is the pressure, T is the temperature, H is the enthalpy, and C_P is the heat capacity at constant pressure. Calculating one thermodynamic property from another: For example, if the heat capacity at constant pressure, C_P, is known, the volume change with temperature at constant pressure, (∂V/∂T)_P, can be calculated using the third Maxwell relation. Determining the properties of a substance: By measuring two properties such as pressure and temperature, the other ...