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A : NO2+COoverset("Slow")rarrCO2+NO Ra...

A : `NO_2+COoverset("Slow")rarrCO_2+NO`
Rate `=K[NO_2]^2`
R : Rate does not depend upon [CO] because it is involved in the first step.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1).

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion , then mark (2).

C

If Assertion is true statement but Reason is false, then mark (3).

D

If both Assertion and Reason are false statements , then mark (4)

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion (A) and the reason (R) provided. ### Step-by-Step Solution: 1. **Understanding the Reaction**: The reaction given is: \[ \text{NO}_2 + \text{CO} \overset{\text{Slow}}{\rightarrow} \text{CO}_2 + \text{NO} \] The rate law for this reaction is given as: \[ \text{Rate} = k[\text{NO}_2]^2 \] 2. **Analyzing the Rate Law**: The rate law indicates that the rate of the reaction depends on the concentration of \(\text{NO}_2\) raised to the power of 2. This suggests that the reaction is second order with respect to \(\text{NO}_2\). 3. **Role of CO in the Reaction**: The assertion states that the rate does not depend on the concentration of \(\text{CO}\). This is because \(\text{CO}\) is involved in the slow step of the reaction, but it does not appear in the rate law. 4. **Determining the Rate-Determining Step**: Since the rate law only involves \(\text{NO}_2\), it implies that the slow step (rate-determining step) must involve two molecules of \(\text{NO}_2\) and not \(\text{CO}\). This is consistent with the observation that the rate does not depend on \(\text{CO}\). 5. **Conclusion**: - The assertion (A) is true: The rate of the reaction is indeed dependent on \([\text{NO}_2]^2\). - The reason (R) is false: The reason provided states that the rate does not depend on \([\text{CO}]\) because it is involved in the first step, which is incorrect. The reason should state that \(\text{CO}\) does not appear in the rate law because it is not involved in the rate-determining step. ### Final Answer: The assertion is true, but the reason is false. Therefore, the correct answer is option 3. ---
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