The pressure in P = 10T/V     of a gas in a cylinder is given by   with T in kelvins (K) and V in m3 . If T is increasing at a rate of 3 K/min with V held fixed at 5m3 , find the rate at which the pressure is changing when T = 50K .   If T is held fixed at 50K while V is decreasing at the rate of which the pressure is changing when V =5m3 .

Physics for Scientists and Engineers with Modern Physics
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ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
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Chapter18: Temperature
Section: Chapter Questions
Problem 29P: The pressure gauge on a cylinder of gas registers the gauge pressure, which is the difference...
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The pressure in

= 10T/V

 

 

of a gas in a cylinder is given by

 

with in kelvins (K) and in m3 .

  • If is increasing at a rate of 3 K/min with held fixed at 5m3 , find the rate at which the pressure is changing when = 50K .

 

  • If is held fixed at 50K while is decreasing at the rate of which the pressure is changing when =5m3 .
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