Question

For a chemical reaction X- Y the rate of reaction increases by a factor of 1.837 when the concentration of X increased by 1.5 times, the order of the reaction with respect to X is

Answer 1

Answer: 1.5

Explanation:

Rate law says that rate of a reaction is directly proportional to the concentration of the reactants each raised to a stoichiometric coefficient determined experimentally called as order.

$X\rightarrow Y$

$Rate=k[X]^x$          (1)

k= rate constant

x = order with respect to X

Given : The rate of reaction increases by a factor of 1.837 when the concentration of X increased by 1.5 times.

$1.837\times Rate=k[1.5\times X]^x$    (2)

Dividing 2 by 1 :$\frac{1.837\times Rate}{Rate}=\frac{k[1.5\times X]^x}{k[X]^x}$

$1.837=(1.5)^x$

taking log on both sides

$log(1.837)=xlog (1.5)$

$x=1.5$

Thus order with respect to X is 1.5.