For a reaction X → 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?

Question

For a reaction X → 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

Tardigrade Admin · Accepted Answer

Let rate of reaction R =k[X]n ldots(i) 27R =k[3X]n ldots(ii) or 27=3n [Dividing (ii) by (i)] or 33=3n or n=3

Q. For a reaction $X \to Y$ , the rate of reaction becomes twenty seven times when the concentration of $X$ is increased three times. What is the order of the reaction?

$2$

$1$

$3$

$0$

Let rate of reaction $R = k [X]^{n} \dots (i)$
$27 R = k [3 X]^{n} \dots (ii)$
or $27 = 3^{n}$
[Dividing $(ii)$ by $(i)]$
or $3^{3} = 3^{n}$
or $n = 3$

Q. For a reaction X→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?

2

1

3

0

Let rate of reaction R=k[X]n…(i) 27R=k[3X]n…(ii) or 27=3n [Dividing (ii) by (i)] or 33=3n or n=3

Q. For a reaction $X \to Y$ , the rate of reaction becomes twenty seven times when the concentration of $X$ is increased three times. What is the order of the reaction?

$2$

$1$

$3$

$0$

Let rate of reaction $R = k [X]^{n} \dots (i)$
$27 R = k [3 X]^{n} \dots (ii)$
or $27 = 3^{n}$
[Dividing $(ii)$ by $(i)]$
or $3^{3} = 3^{n}$
or $n = 3$