(a) 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. 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 Land a pressure of P = 2.5 atm. Use a = 3.592 L2-atm/ mole2 and b = 0.04267 L/mole.
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Calculus: Early Transcendentals
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