The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 7.0 atm and is increasing at a rate of 0.13 atm/min and V = 13 L and is decreasing at a rate of 0.16 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.) %3D %3D dT dt K/min %3D
The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 7.0 atm and is increasing at a rate of 0.13 atm/min and V = 13 L and is decreasing at a rate of 0.16 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.) %3D %3D dT dt K/min %3D
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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
Transcribed Image Text:The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in
atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles
of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant,
P = 7.0 atm and is increasing at a rate of 0.13 atm/min and V = 13 L and is
decreasing at a rate of 0.16 L/min. Find the rate of change of T with respect to time
at that instant if n = 10 mol. (Round your answer to four decimal places.)
%3D
dT
K/min
dt
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