First order reaction

Chemistry Level pending

What is the rate constant k k for the first-order decomposition of N 2 O 5 ( g ) , \text{N}_{2}\text{O}_{5}(g), if the half life of N 2 O 5 ( g ) \text{N}_{2}\text{O}_{5}(g) is 8.06 × 1 0 4 8.06 \times 10^{4} s?

2.8 × 1 0 6 /s 2.8\times 10^{-6}\text{ /s} 8.6 × 1 0 6 /s 8.6 \times 10^{-6}\text{ /s} 1.72 × 1 0 5 /s 1.72 \times 10^{-5}\text{ /s} 8.6 × 1 0 5 /s 8.6 \times 10^{-5}\text{ /s}

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1 solution

Tom Engelsman
Feb 7, 2017

k = l n 2 t 1 / 2 = l n 2 8.06 × 1 0 4 = 8.6 × 1 0 6 s 1 . k = \frac{ln 2}{t_1/2} = \frac{ln 2}{8.06 \times 10^4} = \boxed{8.6 \times 10^{-6} s^{-1}}.

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