(a) The van der Waals equation for moles of a gas is

where P is the pressure, V is the volume, and is the temperature of the gas. The constant R is the universal gas constant and and are positive constants that are characteristic of a particular gas. If 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 P = 2.5 atm, Use a = 3.592 L2-atm/mole2 and b = 0.04267 L/mole.

Transcribed Image Text:

n a Pt下- )(V-nb) = nRT +