Write the expressions (i.e., total differential) for dV and dP knowing that V is a function of Pand T, and P is a function of V and T.
Knowing that for a substance, the expansion coefficient is given by α=1/v(av/at)ₚ and the isothermal compressibility by Kₜ = -(1/v) (av/ap)ₜ in the expressions for: