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15 September, 12:06

The gas-phase decomposition of NOBr has a k = 0.810 M-1 s-1 at 10°C. NOBr (g) → NO (g) + ½ Br2 (g) rate = k[NOBr]2 We start with 0.00200 M NOBr in a flask at 10°C. (a) How many minutes does it take to use up 0.00050 M of this NOBr? (b) If we start with 0.000500 M NOBr, what concentration of NOBr with remain after 5.00 minutes of reaction? (c) How much of the NO is produced after 5 min when the reaction started with 0.000500 M NOBr?

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  1. 15 September, 15:53
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    a) 2.57 min

    b) 6.075x10⁻⁵ M

    c) 4.3925x10⁻⁴ M

    Explanation:

    a) The rate determines how the concentration of NOBr decays at each second (M/s), thus, if the initial concetrations is [NOBr] = 0.00200, thus the rate is:

    rate = 0.810 * (0.002) ²

    rate = 3.24x10⁻⁶ M/s

    So, at each second, 3.24x10⁻⁶ M is used, thus, the time to use up 0.00050 M is:

    t = 0.00050/3.24x10⁻⁶

    t = 154.32 s

    t = 2.57 min

    b) Know the rate will be calculated with [NOBr] = 0.00050 M, so:

    rate = 0.810 * (0.00050) ²

    rate = 2.025x10⁻⁷ M/s

    So, after 5 minutes = 300s, the concentration decays to:

    2.025x10⁻⁷ M/s * 300s = 6.075x10⁻⁵ M

    c) If remains 6.075x10⁻⁵ M of NOBr, than it was consumed:

    0.00050 - 6.075x10⁻⁵ = 4.3925x10⁻⁴ M

    The stoichiometry of the reaction is 1 mole of NOBr to 1 mole of NO, so it is formed 4.3925x10⁻⁴ M of NO.
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