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The isomerization of methylisonitrile to acetonitrileCH3NC(g)→CH3CN(g)is first order in CH3NC . The rate constant for the reaction is 2.34×10−4 s−1 at 489 K .The half-life of the reaction when the initial {\rm [CH_3NC]} is 0.030 M is ________ {\rm s}.A. 1.43×105B. 3.37×10−4C. 4.28×103D. 2.14×103E. 2.96×103

Respuesta :

Answer:

Option E, Half life = [tex]2.96\times 10^3\ s[/tex]

Explanation:

For a first order reaction, rate constant and half-life is related as:

            [tex]t_{1/2}=\frac{0.693}{k}[/tex]

Where,

[tex]t_{1/2}[/tex] = Half life

k = Rate constant

Rate constant given = [tex]2.34\times 10^{-4}\ s^{-1}[/tex]

[tex]t_{1/2}=\frac{0.693}{k}[/tex]

[tex]=\frac{0.693}{2.34 \times 10^{-4}}=2.96\times 10^3\ s[/tex]

So, the correct option is option E.

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