Time required to decompose `SO_(2)Cl_(2)` to half of its initial amount is 60 minutes. If the decomposition is a first order reaction, calculate the rate constant of the reaction.

Explanation

To calculate the rate constant (k) for the decomposition of \( SO_2Cl_2 \) given that it is a first-order reaction and the half-life (\( t_{1/2} \)) is 60 minutes, we can follow these steps:

### Step 1: Understand the half-life formula for a first-order reaction
The half-life (\( t_{1/2} \)) for a first-order reaction is given by the formula:
\[ t_{1/2} = \frac{0.693}{k} \]
where \( k \) is the rate constant.
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