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.