The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres, atm), and volume V (in liters) is PV = nRT, where n is the number of moles of gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 8.0 atm and is increasing at a rate of 0.10 atm/min and V = 10 L and is decreasing at a rate of 0.15 L/min. Find the rate of change of T with respect to 6. the I| time at that instant if n = 10 moles.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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Problem 33

 

The gas law for an ideal gas at absolute temperature T (in
kelvins), pressure P (in atmospheres, atm), and volume V
(in liters) is PV = nRT, where n is the number of moles of
gas and R = 0.0821 is the gas constant. Suppose that, at
a certain instant, P = 8.0 atm and is increasing at a rate of
0.10 atm/min and V = 10 L and is decreasing at a rate of
0.15 L/min. Find the rate of change of T with respect to
6.
the
I|
time at that instant if n = 10 moles.
Transcribed Image Text:The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres, atm), and volume V (in liters) is PV = nRT, where n is the number of moles of gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 8.0 atm and is increasing at a rate of 0.10 atm/min and V = 10 L and is decreasing at a rate of 0.15 L/min. Find the rate of change of T with respect to 6. the I| time at that instant if n = 10 moles.
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