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The rate law of reaction A+2Btoproduct g...

The rate law of reaction `A+2Bto`product given by
`r=K(A)^(2)(B)^(1)`. If A is taken in excess the order of the reaction
will be :-

A

zero

B

1

C

2

D

3

Text Solution

AI Generated Solution

The correct Answer is:
To determine the order of the reaction when reactant A is taken in excess, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Rate Law**: The rate law of the reaction is given as: \[ r = K[A]^2[B]^1 \] where \( r \) is the rate of the reaction, \( K \) is the rate constant, and \( [A] \) and \( [B] \) are the concentrations of reactants A and B, respectively. 2. **Identify Excess Reactant**: The problem states that A is taken in excess. When a reactant is in excess, its concentration does not change significantly during the reaction. Therefore, we can treat its concentration as constant. 3. **Simplify the Rate Law**: Since A is in excess, we can denote its concentration as a constant value. Let’s say: \[ [A] = C \quad \text{(a constant)} \] Thus, the rate law can be simplified to: \[ r = K[C]^2[B]^1 \] Here, \( K[C]^2 \) can be treated as a new constant, say \( K' \): \[ K' = K[C]^2 \] Therefore, the rate law now looks like: \[ r = K'[B]^1 \] 4. **Determine the Order of the Reaction**: The order of a reaction is the sum of the powers of the concentration terms in the rate law. In the simplified rate law \( r = K'[B]^1 \), the only concentration term is \( [B] \) raised to the power of 1. Thus, the order of the reaction is: \[ \text{Order} = 1 \] 5. **Conclusion**: When A is taken in excess, the reaction behaves as a first-order reaction with respect to B. Therefore, the overall order of the reaction is 1. ### Final Answer: The order of the reaction when A is taken in excess is **1**.
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