Express partial molar temperature and partial molar pressure in terms of temperature and pressure of the mixture

A partial molar property is a thermodynamic quantity which indicates how an extensive property of a solution or mixture varies with changes in the molar composition of the mixture at constant temperature and pressure. Essentially it is the partial derivative of the extensive property with respect to the amount (number of moles) of the component of interest. Every extensive property of a mixture has a corresponding partial molar property.

z = summation of (niZi)

where Zi is the partial molar Z of component i