The van der Waals equation for n moles of a gas is n?a (V - nb) = nRT v2 P + 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. dV (a) If T remains constant, use implicit differentiation to find dP dv dP (b) Find the rate of change (in L/atm) of volume with respect to pressure of 1 mole of carbon dioxide at a volume of V = 15 L and a pressure of P = 2.5 atm. Use a = 3.592 L--atm/mole and b = 0.04267 L/mole. (Round your answer to two decimal places.) L/atm

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Chapter1: Functions And Models
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The van der Waals equation for n moles of a gas is
n?a
V2
P +
(V – nb) = nRT
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.
dV
(a) If T remains constant, use implicit differentiation to find
dP
dV
dP
(b) Find the rate of change (in L/atm) of volume with respect to pressure of 1 mole of carbon dioxide at a volume of
V = 15 L and a pressure of P = 2.5 atm. Use a = 3.592 L--atm/mole2 and b = 0.04267 L/mole. (Round your answer
to two decimal places.)
L/atm
Transcribed Image Text:The van der Waals equation for n moles of a gas is n?a V2 P + (V – nb) = nRT 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. dV (a) If T remains constant, use implicit differentiation to find dP dV dP (b) Find the rate of change (in L/atm) of volume with respect to pressure of 1 mole of carbon dioxide at a volume of V = 15 L and a pressure of P = 2.5 atm. Use a = 3.592 L--atm/mole2 and b = 0.04267 L/mole. (Round your answer to two decimal places.) L/atm
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