Question

The decomposition of ozone proceeds as $O_3\iff O_2+O\left(fast\right)O+O_3\to 2O_2\left(slow\right)$
The rate expression should be

• A. $r=k[O_3{]}^2$
• B. $r=k\left[O_3{]}^2\right[O_2{]}^{-1}$
• C. $r=k\left[O_3\right]\left[O_2\right]$
• D. $r=k\left[O_3\right][O_2{]}^{-1}$

Answer 1

The correct option is B $r=k\left[O_3{]}^2\right[O_2{]}^{-1}$

$K=\frac{\left[O\right]\left[O_2\right]}{\left[O_3\right]}or,\left[O\right]=\frac{K\left[O_3\right]}{O_2}\therefore r=\frac{K\left[O_3\right]\left[O_3\right]}{\left[O_2\right]}=\left[O_3{]}^2\right[O_2{]}^{-1}$