By what factor does the rate change in each of the following cases (assuming constant temperature)?
Factor (enter as decimal if <1)
(a) A reaction is first order in reactant A, and [A] is doubled.
(b) A reaction is second order in reactant B, and [B] is halved.
(c) A reaction is second order in reactant C, and [C] is tripled.

Respuesta :

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 ;

[tex]R=k[A]^1[/tex]

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

[tex]R'=k[2A]^1[/tex]

[tex]R'=2k[A][/tex]

[tex]R'=2R[/tex]

The rate of reaction increases by factor of 2.

b)

Rate of the reaction ;

[tex]R=k[B]^2[/tex]

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

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

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

[tex]R'=0.25R[/tex]

The rate of reaction increases by factor of 0.25.

c)

Rate of the reaction ;

[tex]R=k[C]^2[/tex]

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

[tex]R'=k[3C]^2[/tex]

[tex]R'=9k[C]^2[/tex]

[tex]R'=9R[/tex]

The rate of reaction increases by factor of 9.