500.0 mL sample of a gas at 760.0 mm Hg were compressed to 200.0 mL. Find the new pressure if the temperature remains constant

1900 mmHg.

Explanation:

The following data were obtained from the question:

Initial volume (V1) = 500 mL

Initial pressure (P1) = 760 mmHg

Final volume (V2) = 200 mL

Final pressure (P2) =?

Temperature = constant.

Since the temperature is constant, we shall use the Boyle's law equation to obtain the new pressure as illustrated below:

P1V1 = P2V2

760 × 500 = P2 × 200

Divide both side by 200

P2 = (760 × 500) / 200

P2 = 1900 mmHg

Therefore, the new pressure is 1900 mmHg.

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