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Question: For a reaction \(X \rightarrow Y\) the rate of reaction becomes twenty seven times when the concentr...

For a reaction X→YX \rightarrow Y the rate of reaction becomes twenty seven times when the concentration of X is increased three times. What is the order of the reaction?

A

2

B

1

C

3

D

0

Answer

3

Explanation

Solution

Let rate of reaction

R =k[X]n= k\lbrack X\rbrack^{n} …… (i)

27R=k[3X]n27R = k\lbrack 3X\rbrack^{n} … (ii)

Or 27=3n27 = 3^{n} [Dividing (ii) by (i)]

Or 33=3n3^{3} = 3^{n} or n = 3