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(52769) (Show Source):
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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.
