Azomethane, `(CH_3)_2N_2` decomposes with a first-order rate according to the equation
`(CH_3)_2N_2(g) to N_2(g) + C_2 H_6(g)`
In the beginning the initial pressure was 36.2 mm and after 15 min. the total pressure was 42.4 mm. Calculate the rate constant.

Explanation

To calculate the rate constant \( K \) for the decomposition of azomethane, we will follow these steps:

### Step 1: Understand the Reaction
The reaction given is:
\[ (CH_3)_2N_2(g) \rightarrow N_2(g) + C_2H_6(g) \]
This is a first-order reaction.
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