The following data are given for the reaction of $\ce{NO}$ and $\ce{O2}$:
$$ \ce{2NO + O2 -> 2NO2} $$
The the reaction is second order in $\ce{[NO]}$ and first order in $\ce{[O2]}$, and the rate of disappearance of $\ce{NO}$ is $2.5 \times 10^{-5}~\mathrm{mol\over L\,s}$ at the instant when $\ce{[NO] = [O2]} = 0.01~\mathrm{mol\over L}$.
The question asks me to calculate the rate constant.
I've thought of two ways of approaching the calculation—which of these solutions is correct?
1) Take the rate of the reaction as one-half the rate of disappearance of $\ce{NO}$:
$$ \begin{align} R &= {1\over 2} * 2.5 \times 10^{-5} = k \ce{[NO]^2[O2]}=k(0.01)^3 \\ k &= 12.5~\mathrm{L^2\over mol^2\,s} \end{align} $$
2) Take the rate of the reaction as equal to the rate of disappearance of $\ce{NO}$:
$$ \begin{align} R &= 2.5 \times 10^{-5} = k \ce{[NO]^2[O2]} = k(0.01)^3 \\ k &= 25 ~\mathrm{L^2\over mol^2\,s} \end{align} $$
No comments:
Post a Comment