The conversion of methyl isonitrile to acetonitrile in the gas phase at 250 °C CH3NC(g)CH3CN(g) is first order in CH3NC with a rate constant of 3.00×10-3 s-1. If the initial concentration of CH3NC is 4.30×10-2 M, the concentration of CH3NC will be 8.30×10-3 M after _____ s have passed.

Respuesta :

Answer:

548s = t

Explanation:

A first-order reaction has as general equation:

[tex]ln \frac{[A]_t}{[A]_0} = -kt[/tex]

Where [tex][A]_t[/tex] is the concentration of the reactant in the time t, [tex][A]_0[/tex] is the initial concentration of the reactant, k is rate constant and t is time. Replacing with values of the problem:

[tex]ln \frac{8.30x10^-3}{4.30x10^-2} = -3.00x10^-3s^-1*t[/tex]

-1.65 = -3.00x10⁻³s⁻¹×t

548s = t

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