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5 June, 14:27

The rate law for the rearrangement of ch3nc to ch3cn at 800 k is rate = (1300 s-1) [ch3nc]. what is the half-life for this reaction?

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  1. 5 June, 14:36
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    The rate of reaction is always expressed in concentration per time like mol/L·s. The equation is:

    r [mol/L·s] = kCⁿ, where n is the order of reaction. Since k is 1300/s, that means that Cⁿ = C such that (1/s) * (mol/L) = mol/L·s. Thus, n=1. For a first order reaction, the formula would be:

    ln (A/A₀) = - kt

    where

    A is the amount of material after time t

    A₀ is the amount of material at t=0

    The half life is when A/A₀ = 1/2:1 = 1/2. Thus, the half-life t is:

    ln (1/2) = (-1300t)

    t = 5.33*10⁻⁴ seconds
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