The gas phase decomposition of nitrogen dioxide at 383 °C NO2(g) --> NO(g) + ½ O2(g) is second order in NO2 with a rate constant of 0.540 M-1 s-1. If the initial concentration of NO2 is 0.355 M, the concentration of NO2 will be ______ M after 15.9 seconds have passed.

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Answer:

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Explanation:

Integrated rate law for second order kinetics is:

[tex]\frac{1}{[A_t]} = \frac{1}{[A]_0}+kt[/tex]

Where, [tex][A_t][/tex] is the final initial concentration

[tex][A_0][/tex] is the initial concentration = 0.355 M

k is the rate constant = 0.540 (Ms)⁻¹

t is the time = 15.9 seconds

Applying the values in the above expression as:-

[tex]\frac{1}{[A_t]} = \frac{1}{0.355}+0.540\times 15.9\ M=11.4\ M[/tex]

11.4 M of [tex]NO_2[/tex] will be left after 15.9 seconds have passed.

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