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22 October, 09:00

Liquid nitrogen trichloride is heated in a 1.25-L closed reaction vessel until it decomposes completely to gaseous elements. The resulting mixture exerts a pressure of 839 mmHg at 104°C. What is the partial pressure of each gas in the container?

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  1. 22 October, 10:50
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    The partial pressure of N2 is 209.75 mmHg

    The partial pressure of Cl2 = 629.25 mmHg

    Explanation:

    Step 1: Data given

    Volume of the vessel = 1.25 L

    Pressure 839 mmHg = 839/760 atm = 1.10395 atm

    Temperature = 104 °C = 377 K

    Step 2: The balanced equation

    2 NCl3 → N2 + 3 Cl2

    For 2 moles NCl3 we'll have 1 mol N2 and 3 moles Cl2

    Step 3: Calculate partial pressure

    partial pressure Cl2 = 3 x partial pressure N2

    partial pressure N2 + 3 x partial pressure N2 = 839

    x + 3x = 839

    x = 209.75 mm Hg = partial pressure N2

    partial pressure Cl2 = 3x = 629.25 mm Hg

    The partial pressure of N2 is 209.75 mmHg

    The partial pressure of Cl2 = 629.25 mmHg
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