Question

The elementary reaction NO2 (g) → 2NO (g) + O2 (g) is second order in NO2 and the rate constant at 690 K is 1.27 × 101 M-1s-1. The reaction half-life at this temperature when [NO2]0 = 0.45 M is __________ s. The elementary reaction NO2 (g) → 2NO (g) + O2 (g) is second order in NO2 and the rate constant at 690 K is 1.27 × 101 M-1s-1. The reaction half-life at this temperature when [NO2]0 = 0.45 M is __________ s. 0.17 18 5.7 0.054 0.079

Answer 1

Answer:

$t_{1/2}=0.175 s$

Explanation:

Hello,

At first, we must consider the rate law as:

$\frac{1}{[NO_2]}=kt+ \frac{1}{[NO_2]_0}$

The supposition of half-life, leads to $[NO_2]=\frac{[NO_2]_0}{2}$

Thus, after the algebraic arrangement, we get:

$t_{1/2}=\frac{1}{k[NO_2]_0} \\t_{1/2}=\frac{1}{(1.27x10^1\frac{L}{mol*s} )(0.45 \frac{mol}{L} )} \\\\t_{1/2}=0.175s$

Best regards