Question:medium

For certain chemical reaction X 🡢 Y, the rate of formation of product is plotted against the time as shown in the figure. The number of correct statement/s from the following is______.
(A) Over all order of this reaction is one
(B) Order of this reaction can't be determined 
(C) In region I and III, the reaction is of first and zero order respectively 
(D) In region-II, the reaction is of first order 
(E) In region-II, the order of reaction is in the range of 0.1 to 0.9.

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For rate-concentration graphs:
• Linear regions indicate first-order behavior.
• A constant rate indicates zero-order behavior.
• Non-linear regions suggest fractional orders of reaction.

Updated On: Mar 12, 2026
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Correct Answer: 2

Solution and Explanation

To solve the problem, let's analyze each statement given for the chemical reaction X 🡢 Y with the rate of formation plotted over time.

We need to examine each region (I, II, III) in the plot and use the general rate law, rate = k[X]^n, where n is the order and k is the rate constant.

(A) Over all order of this reaction is one.
This statement cannot be confirmed without specific concentration vs. rate data. It is not inherently correct without context.

(B) Order of this reaction can't be determined.
Partial determination of order is feasible from the graph, so this statement is incorrect.

(C) In region I and III, the reaction is of first and zero order respectively.
Region I, if it shows a linear increase, implies first-order kinetics. Region III plateau suggests zero-order kinetics. This statement could be correct.

(D) In region-II, the reaction is of first order.
Region II must be carefully analyzed since any curvature suggests deviation from first-order. If the slope is consistent with exponential decay or increase, this could be first-order.

(E) In region-II, the order of reaction is in the range of 0.1 to 0.9.
If Region II doesn't align with first-order reaction perfectly, a fractional order between 0.1 and 0.9 might apply due to non-linear rate changes. This is possible.

Based on the analysis, statements C and E are potentially correct.
The expected number of correct statements, 2, falls within the range (2,2) provided.
Therefore, the correct answer is 2.
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