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17 October, 02:13

A gas has a volume of 10 liters under a pressure of 745 mm of Hg. What will the volume be at 720 mm pressure if the temperature

remains the same?

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  1. 17 October, 02:15
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    Volume is 10.35 L

    Explanation:

    we are given;

    Initial volume v₁ is 10 L Initial pressure, P₁ as 745 mmHg New pressure, P₂ as 720 mmHg

    We are required to determine the new volume, V₂

    We are going to use the Boyle's law;

    According to Boyle's law the volume and the pressure of a fixed mass of a gas are inversely proportional at a constant temperature.

    Therefore;

    P₁α 1/V

    That is;

    P = k/V

    k = PV

    At different conditions;

    P₁V₁ = P₂V₂

    Rearranging the formula;

    V₂ = P₁V₁ : P₂

    Thus;

    New volume = (10 L * 745 mmHg) : 720 mmHg

    = 10.35 L

    Thus, the new volume of the gas at the new pressure is 10.35 L
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