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Question: Gaseous N<sub>2</sub>O<sub>5</sub> decomposes according to the following equation : N<sub>2</sub>O<...

Gaseous N2O5 decomposes according to the following equation :

N2O5(g) ® 2NO2(g) + 12\frac{1}{2} O2(g)

The experimental rate law is –D[N2O5]/Dt = k[N2O5]. At a certain temperature the rate constant is k = 5.0 x 10–4/sec. In how seconds will the concentration of N2O5 decrease to one-tenth of its initial value?

A

2.0 × 103 s

B

4.6 × 103 s

C

2.1 × 102 s

D

1.4 × 103 s

Answer

4.6 × 103 s

Explanation

Solution

t = 2.3035×104\frac{2.303}{5 \times 10^{–4}} log A0A0/10\frac{A_{0}}{A_{0}/10}= 4.6 ×103 sec