The van der Waals equation for n moles of a gas is

where P is the pressure, V is the volume, and T is the temperature of the gas. The constant R is the universal gas constant and a and b are positive constants that are characteristic of a particular gas.
(a) If T remains constant, use implicit differentiation to find dV/dP.
(b) Find the rate of change of volume with respect to pressure of 1 mole of carbon dioxide at a volume of V = 10 L and a pressure of P = 2.5 atm. Use a = 3.592 L2-atmymole2 and b = 0.04267 Lymole.

Transcribed Image Text:

n'a Р+ (V-nb) = nRT V2