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Consider the data given below for hypoth...

Consider the data given below for hypothetical reaction `A rarr X`
`{:(,"Time (s)",,"Rate of the reaction"(mol L^(-1)s^(-1))),(,0,,1.60xx10^(-2)),(,10,,1.60xx10^(-2)),(,20,,1.60xx10^(-2)),(,30,,1.59xx10^(-2)):}`
From the above data, the order of reaction is:

A

Zero

B

1

C

2

D

3

Text Solution

AI Generated Solution

The correct Answer is:
To determine the order of the reaction from the provided data, we will analyze the relationship between the rate of the reaction and the concentration of the reactant over time. ### Step-by-Step Solution: 1. **Understanding the Data**: - We have the following data: - At time 0 seconds, the rate of reaction is \(1.60 \times 10^{-2}\) mol L\(^{-1}\) s\(^{-1}\). - At time 10 seconds, the rate is still \(1.60 \times 10^{-2}\) mol L\(^{-1}\) s\(^{-1}\). - At time 20 seconds, the rate remains \(1.60 \times 10^{-2}\) mol L\(^{-1}\) s\(^{-1}\). - At time 30 seconds, the rate is \(1.59 \times 10^{-2}\) mol L\(^{-1}\) s\(^{-1}\), which is approximately the same as the previous rates. 2. **Analyzing the Rates**: - The rate of the reaction remains approximately constant (around \(1.60 \times 10^{-2}\) mol L\(^{-1}\) s\(^{-1}\)) despite the passage of time. This indicates that the rate does not change significantly as the concentration of reactant A decreases. 3. **Understanding Reaction Order**: - The general rate equation for a reaction is given by: \[ \text{Rate} = k \cdot [A]^n \] where \(k\) is the rate constant, \([A]\) is the concentration of reactant A, and \(n\) is the order of the reaction. 4. **Determining the Order**: - Since the rate of reaction remains constant even as the concentration of A decreases, we can infer that the rate does not depend on the concentration of A. - This implies that \(n = 0\) because if the concentration of A does not affect the rate, the reaction behaves as a zero-order reaction. 5. **Conclusion**: - Therefore, based on the data provided, the order of the reaction is 0. ### Final Answer: The order of the reaction is **0** (Option A). ---
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