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a gas cylinder in the lab contains 12.0 ft3 of some gas at 70ºF and 100psia....

a gas cylinder in the lab contains 12.0 ft3 of some gas at 70ºF and 100psia. The gas is then compressed to 2.0 ft 3 in an experiment. Assuming isothermal conditions, and using the ideal gas law, what is the pressure of the new volume?

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Answer:

At isothermal condition, temperature remains constant.

Then pressure is inversely proportional to volume (Boyels law)

PV=constant or P1V1=P2V2

Given P1=100 psia, V1=12 ft3 and V2=2 ft3 then P2=?

Therefore P2=P1V1/V2=(100 psia x 12 ft3)/(2 ft3)

P2=600 psia.

Therefore the pressure of the new volume=600 psia.

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