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The rate of the reaction 3A + 2B rarr ...

The rate of the reaction
`3A + 2B rarr` Products
is given by the rate expresison: Rate `= k[A][B]^(2)`
If `A` is taken in excess, the order of the reaction would be

A

`3`

B

`2`

C

`1`

D

`5`

Text Solution

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The correct Answer is:
To determine the order of the reaction given the rate expression and the condition that reactant A is taken in excess, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Rate Expression**: The rate of the reaction is given as: \[ \text{Rate} = k[A][B]^2 \] Here, \(k\) is the rate constant, \([A]\) is the concentration of reactant A, and \([B]\) is the concentration of reactant B. 2. **Understand the Concept of Excess Reactant**: When one reactant is in excess, its concentration does not change significantly during the reaction. Therefore, it can be treated as a constant for the purpose of calculating the rate. 3. **Modify the Rate Expression**: Since A is in excess, we can consider its concentration \([A]\) to be constant. Let’s denote this constant concentration as \(k'\), where: \[ k' = k[A] \] Thus, the rate expression can be rewritten as: \[ \text{Rate} = k'[B]^2 \] 4. **Determine the Order of the Reaction**: The order of a reaction is determined by the sum of the powers of the concentration terms in the rate expression. In the modified rate expression \( \text{Rate} = k'[B]^2 \), the only variable concentration is \([B]\) raised to the power of 2. 5. **Conclusion**: Therefore, the order of the reaction with respect to reactant B is 2. Since A is in excess and treated as a constant, it does not contribute to the order of the reaction. ### Final Answer: The order of the reaction is **2**. ---

To determine the order of the reaction given the rate expression and the condition that reactant A is taken in excess, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Rate Expression**: The rate of the reaction is given as: \[ \text{Rate} = k[A][B]^2 ...
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