For the decomposition of dinitrogen pentoxide at `200^(@)C`,
`N_(2)O_(5)(g)toN_(2)O_(4)(g)+(1)/(2)O_(2)(g)`,
if the intial pressure is 14 mm and after 25 minutes of the reaction, total pressure of the gassous mixture is 133 mm, calculate the average rate of reaction in (a) atm `min^(-1)" "(b)" mol "L^(-1)s^(-1)`.

Explanation

To solve the problem step by step, we will follow the reaction and the given data to calculate the average rate of reaction in two different units.

### Step 1: Understand the Reaction
The decomposition of dinitrogen pentoxide (N₂O₅) can be represented as:
\[ N_2O_5(g) \rightarrow N_2O_4(g) + \frac{1}{2}O_2(g) \]

### Step 2: Initial and Final Pressures
- Initial pressure (P₀) = 114 mm
...