Nitrogen dioxide reacts with carbon monoxide according to th

Nitrogen dioxide reacts with carbon monoxide according to the following equation.

NO₂(g) + CO(g) → NO(g) + CO₂(g)

This reaction is second order in [ NO₂ ], and the rate constant is 0.67 M ^−1s^−1. Which of the following conclusions can you draw about this reaction?

a. The half-life depends on [CO]₀.

b. The half-life is independent of [ NO₂ ]₀.

c. A plot of ln [CO] versus time will be a straight line.

d. A plot of 1 / [ NO₂ ] versus time will be a straight line.

Solution

rate = k[NO2]^2

-d[NO2]/dt =k[NO2]^2

1/[NO2] = -1/[NO2]i + kt

therefore, graph of 1/[NO2] vs time is a straight line.

option d