Show by uisng rate laws how much the rate of reaction `2NO(g) + O_(2)(g) rarr 2NO(g)` will change if the volume of the reaction vessel is diminished to `1//3` of its initial volume.

Explanation

To solve the problem of how the rate of the reaction \(2NO(g) + O_2(g) \rightarrow 2NO(g)\) changes when the volume of the reaction vessel is reduced to \( \frac{1}{3} \) of its initial volume, we will use the concept of rate laws and concentration.

### Step-by-Step Solution:

1. **Understanding Concentration**:
- Concentration (\(C\)) is defined as the number of moles (\(n\)) of a substance divided by the volume (\(V\)) of the solution:
\[
C = \frac{n}{V}
...