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1 August, 04:46

Calculate the equilibrium concentration of [N2][N2] if the initial concentrations are 2.25 MM N2N2 and 0.55 MM O2O2. (This N2/O2N2/O2 concentration ratio is the ratio found in air.)

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  1. 1 August, 04:54
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    The equilibrium concentration of N2 is 2.22765 M

    Explanation:

    The air pollutant NO is produced in automobile engines from the high-temperature reaction:

    N2 (g) + O2 (g) 2NO (g) Kc=1.7 * 10^-3

    Part A: Calculate the equilibrium concentration of N2 if the initial concentrations are 2.25 M N2 and 0.55 M O2. (This N2/O2 concentration ratio is the ratio found in air.)

    Step 1: Data given

    Initial concentration of N2 = 2.25 M

    Initial concentration of O2 = 0.55M

    Kc = 1.7 * 10^-3

    Step 2: The initial concentrations

    [N2] = 2.25 M

    [O2] = 0.55 M

    [NO] = 0M

    Step 3: The concentrations at equilibrium

    [N2] = 2.25 - x M

    [O2] = 0.55 - x M

    [NO] = 2x M

    Step 4: Kc

    Kc = 1.7 * 10^-3 = (2x) ² / (2.25 - x) (0.55 - x)

    1.7 * 10^-3 = 4x² / (1.2375 - 2.80x + x²)

    0.0017x² - 0.00476x + 0.002104 = 4x²

    3.9983x² + 0.00476x - 0.002104 = 0

    x = 0.02235

    [N2] = 2.25 - x M = 2.25 - 0.02235 = 2.22765 M

    [O2] = 0.55 - x M = 0.55 - 0.02235 = 0.52765 M

    [NO] = 2x M = 2 * 0.02235 = 0.0447 M

    The equilibrium concentration of N2 is 2.22765 M
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