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

Explanation

To solve the problem of calculating the rate constant for the decomposition of \( SO_2Cl_2 \) given that it is a first-order reaction with a half-life of 60 minutes, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Reaction Type**:
The decomposition of \( SO_2Cl_2 \) is specified as a first-order reaction.

2. **Understand Half-Life for First-Order Reactions**:
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