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10 November, 10:44

The reaction 2X →products is a second-order reaction, and the rate constant is 8.8 * 10-3 1/M·s. If the initial concentration of X is 3.00 M, how many seconds does it take for the concentration of X to drop to 0.700 M?

A) 124 s

B) 261 s

C) 0.0096 s

D) 200 s

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Answers (1)
  1. 10 November, 11:06
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    Answer is: A) 124 s.

    c₀ = 3 mol/L.

    c₁ = 0,700 mol/L.

    k = 8,8·10⁻³ 1/M·s.

    Integrated second order rate law is: 1/c₁ = 1/c₀ + k·t.

    k·t = 1/0,700 - 1/3.

    0,0088·t = 1,095.

    t = 1,095 : 0,0088.

    t = 124 s.

    c₀ - initial concentration.

    c ₁ - concentration at a particular time.

    k - the rate constant.

    t - time.
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