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

`t_(1/2)=0.175 s`

Step-by-step explanation:

Hello,

At first, we must consider the rate law as:

`(1)/([NO_2])=kt+ (1)/([NO_2]_0)`

The supposition of half-life, leads to
`[NO_2]=([NO_2]_0)/(2) \\`

Thus, after the algebraic arrangement, we get:

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

Best regards