SOLUTION: A quantity of gas in a piston cylinder has a volume of 0.500 m^3 and a pressure of 200 Pa. The piston compresses the gas to 0.150m^3 in an isothermal (constant temperature) process

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Question 1182775: A quantity of gas in a piston cylinder has a volume of 0.500 m^3 and a pressure of 200 Pa. The piston compresses the gas to 0.150m^3 in an isothermal (constant temperature) process. What is the final pressure of the gas
Found 2 solutions by Solver92311, ikleyn:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Physics problem. Find a Physics Homework Help site.


John

My calculator said it, I believe it, that settles it

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Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
A quantity of gas in a piston cylinder has a volume of 0.500 m^3 and a pressure of 200 Pa.
The piston compresses the gas to 0.150m^3 in an isothermal (constant temperature) process.
What is the final pressure of the gas
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Boyle's law  for such processes states that 


    pV = const,   or   p = const/V.


In your case, the constant is  0.5 * 200 = 100;

so and THEREFORE,


    p%5Bfinal%5D = 100/0.150 = 666.67 Pa.    ANSWER

Solved.

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For relevant and elementary source in the Internet, see this link
https://courses.lumenlearning.com/boundless-physics/chapter/ideal-gas-law/