Write rate law and order of the following reaction :
`AB+C_2 to AB_2C+C` (slow)
`AB_2+C to AB_2C` (fast)

Explanation

To determine the rate law and order of the given reaction, we need to analyze the steps provided:

1. **Identify the Slow Step**: The slow step is the rate-determining step, which is:
\[ \text{AB} + \text{C}_2 \rightarrow \text{AB}_2\text{C} + \text{C} \]

2. **Write the Rate Law**: The rate law is derived from the rate-determining step. For the reaction:
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