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 is the number of moles ofthe gas R =0.0821 and is the gas constant. Suppose that,at a certain instant P=8.0, atm and is increasing at a rateof 0.10 atm/min and V=10L and is decreasing at a rateof 0.15 L/min. Find the rate of change of T with respect totime at that instant if n=10 mol.

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 is the number of moles ofthe gas R =0.0821 and is the gas constant. Suppose that,at a certain instant P=8.0, atm and is increasing at a rateof 0.10 atm/min and V=10L and is decreasing at a rateof 0.15 L/min. Find the rate of change of T with respect totime at that instant if n=10 mol.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

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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 0.15 atm/min and V = 13 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.)
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 = 9.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 L and is decreasing at a rate of 0.17 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.) K/min dT_ dt
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