If the decomposition of nitrogen oxide as `2N_2O_5 to 4NO_2 + O_2` follows a first order kinetics .
Calculate the rate constant for a 0.05M solution if the instantaneous rate is `1.5 xx10^(−6)` mol/l/s ?

Explanation

To calculate the rate constant \( k \) for the decomposition of nitrogen oxide \( 2N_2O_5 \to 4NO_2 + O_2 \) which follows first-order kinetics, we can follow these steps:

### Step 1: Write the Rate Law Expression
For a first-order reaction, the rate law can be expressed as:
\[ \text{Rate} = k [N_2O_5]^1 \]
Where:
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