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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,
= 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/