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Question

Chemistry Question on Chemical Kinetics

The rate of reaction between two reactants A and B decreases by a factor of 4,if the concentration of reactant B is doubled. The order of this reaction with respect to reactant B is:

A

-1

B

-2

C

1

D

2

Answer

-2

Explanation

Solution

The method below can be used to determine the response rate: rate = K[A]x×[B]yK[A]^x \times[B]^y
A is the concentration of reactant A, B I is the concentration of reactant B, x is the order of reaction with respect to A, and y is the order of reaction with respect to reactant B in the above formula.
The rate constant is given as k.
The relationship between the rate and concentration of the reactant is known as the order of reaction.
r14\frac{r_1}{4} = K[A]x×[B]yK[A]^x \times[B]^y

r14×r1=(2)y\frac{r_1}{4\times r_1}=(2)^y

14=(2)y\frac{1}{4}=(2)^y

(12)2=(2)y\bigg(\frac{1}{2}\bigg)^2=(2)^y

(2)2(2)y(2)^{-2}-(2)^y

y=2\therefore y = -2

So, the correct option is (B): -2