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.