Chemical Kinetics and Nuclear ChemistryHard

Question

In a certain reaction, 10% of the reactant decomposes in one hour, 20% in two hours, 30% in three hours, and so on. The dimension of the velocity constant (rate constant) are

Options

A.Hr-1
B.Mol L-1 hr-1
C.L mol-1 s-1
D.Mol s-1

Solution

From the question, it is clear t1/2 ∝ a. Hence, zero order reaction. So, dimension of k = mol L-1 hr-1.
For zero order:  t = or k =
If t = t10% = 10 min, x = 10.
Then,  k = = 1 mol L-1 r-1
If t = t20% = 20 min, x = 20.
Then,  k = = 1 mol L-1 r-1
Similarly, for 30% and so on.
Thus, reaction is of zero order.

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