Question

By what factor does the rate change in each of the following cases (assuming constant temperature)?

Answer 1

Answer:

a) The rate of reaction increases by factor of 2.

b) The rate of reaction increases by factor of 0.25.

c) The rate of reaction increases by factor of 9.

Explanation:

a)

Rate of the reaction ;

$R=k[A]^1$

if [A] is doubled, then rate of the reaction = R'

$R'=k[2A]^1$

$R'=2k[A]$

$R'=2R$

The rate of reaction increases by factor of 2.

b)

Rate of the reaction ;

$R=k[B]^2$

if [B] is halved, then rate of the reaction = R'

$R'=k[\frac{B}{2}]^2$

$R'=\frac{1}{4}k[B]^2$

$R'=0.25R$

The rate of reaction increases by factor of 0.25.

c)

Rate of the reaction ;

$R=k[C]^2$

if [C] is tripled, then rate of the reaction = R'

$R'=k[3C]^2$

$R'=9k[C]^2$

$R'=9R$

The rate of reaction increases by factor of 9.