The gas law for an ideal gas at absolute temperature 7 (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 = 9.0 atm and is increasing at a rate of 0.14 atm/min a V = 14 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time (in K/min) at that instant if n = 10 mol. (Round your answer to four decimal places.) dT 2 Kimin -
The gas law for an ideal gas at absolute temperature 7 (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 = 9.0 atm and is increasing at a rate of 0.14 atm/min a V = 14 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time (in K/min) at that instant if n = 10 mol. (Round your answer to four decimal places.) dT 2 Kimin -
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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![The gas law for an ideal gas at absolute temperature 7 (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 = 9.0 atm and is increasing at a rate of 0.14 atm/min and
V = 14 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time (in K/min) at that instant if n = 10 mol. (Round your answer to four decimal places.)
K/min
dT
dt
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b1f7975-4b0c-45ff-85b5-d245674b95f7%2Fa08c63d8-f7df-41d6-a2ab-a92dc7b9f2b1%2Fuvc6fwu_processed.png&w=3840&q=75)
Transcribed Image Text:The gas law for an ideal gas at absolute temperature 7 (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 = 9.0 atm and is increasing at a rate of 0.14 atm/min and
V = 14 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time (in K/min) at that instant if n = 10 mol. (Round your answer to four decimal places.)
K/min
dT
dt
=
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