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Question: For a chemical reaction \(X \rightarrow Y\) the rate of reaction increases by a factor of \(1.837\) ...

For a chemical reaction XYX \rightarrow Y the rate of reaction increases by a factor of 1.8371.837 when the concentration of X is increased by 1.51.5times the order of the reaction with respect to X is

A

1

B

1.51.5

C

2

D

2.52.5

Answer

1.51.5

Explanation

Solution

Initially rate (r1)=k[X]n(r_{1}) = k\lbrack X\rbrack^{n} …… (i)

(let n be the order of reaction)

Then, r1×1.837=k(1.5X)nr_{1} \times 1.837 = k(1.5X)^{n} …. (ii)

Dividing (ii) by (i)

1.837=(1.5)n1.837 = (1.5)^{n}

n=1.5\therefore n = 1.5

Thus, order of reaction is 1.51.5