SOLUTION: A piston-cylinder of gas with a pressure of 45 psi is compressed from 25 gal to 20 gal at the same time it is heated from a temperature of 300 K to 360 K. What is the new pressure

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Question 1182893: A piston-cylinder of gas with a pressure of 45 psi is compressed from 25 gal to 20 gal at the same time it is heated from a temperature of 300 K to 360 K. What is the new pressure inside the cylinder
Answer by ikleyn(52771)   (Show Source): You can put this solution on YOUR website!
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A piston-cylinder of gas with a pressure of 45 psi is compressed from 25 gal to 20 gal.
At the same time it is heated from a temperature of 300 K to 360 K. What is the new pressure inside the cylinder ?
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Use the ideal gas equation  pV = nRT.


Substitute the given data for two scenarious


    45*25 = nR*300      (1)

     p*20 = nR*360      (2)


Divide equation (1) by equation (2)  (side by side).  You will get then the proportion


     = .


From the proportion,


    p =  = 46.875  psi.


ANSWER.  The final pressure is  46.875 psi.

Solved.


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            On ideal gas equation, see this Wikipedia article

https://en.wikipedia.org/wiki/Ideal_gas_law

https://en.wikipedia.org/wiki/Ideal_gas_law




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