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Question: **Statement-1 :** The ratio of for third order reaction is equal to 5 : 1 **Statement-2 :** t1/2& t...

Statement-1 : The ratio of for third order reaction is equal to 5 : 1

Statement-2 : t1/2& t3/4 of a reaction depends only on order, not on the concentration of reactant.

A

Statement 1 and statement 2 are correct and statement 2 is the correct explanation of statement 1.

B

Statement 1 and statement 2 are correct but the statement 2 is not correct explanation of statement 1.

C

Statement 1 is correct but statement 2 is false.

D

Statement 1 is false but statement 2 is correct.

Answer

Statement 1 is correct but statement 2 is false.

Explanation

Solution

t1/2t3/4=2n114n11t3/4t1/2=4n112n11=421221=153=5:1\frac{t_{1/2}}{t_{3/4}} = \frac{2^{n - 1} - 1}{4^{n - 1} - 1} \Rightarrow \frac{t_{3/4}}{t_{1/2}} = \frac{4^{n - 1} - 1}{2^{n - 1} - 1} = \frac{4^{2} - 1}{2^{2} - 1} = \frac{15}{3} = 5:1

}{\Rightarrow t_{3/4} = \frac{4^{n - 1} - 1}{|A|_{0}^{n - 1}K^{(n - 1)}}}$$