Answer: The reaction is first order overall.
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.
[tex]Rate=k[A]^x[B]^y[/tex]
k= rate constant
For the given rate law:
[tex]Rate=k[A]^1[B]^1[/tex]
x = 1= order with respect to A
y =1= order with respect to B
n =( x+y)= (1+1) = 2 = Total order
a) If [A] is doubled, the reaction rate will increase by a factor of 2: True
[tex]Rate'=k[2A]^1[B]^1[/tex]
[tex]Rate'=k[2]^1[A]^1[B]^1[/tex]
[tex]Rate'=[2]^1\times Rate[/tex]
[tex]Rate'=[2]\times Rate[/tex]
b) The reaction is first order overall: False
The overall order is 1+1= 2.
c) k is the reaction rate constant: True
[tex]Rate=k[A]^x[B]^y[/tex]
k= rate constant
d) The reaction is first order in [B]: True
For the given rate law:
[tex]Rate=k[A]^1[B]^1[/tex]
x = 1= order with respect to A
e) The reaction is first order in [A]: True
For the given rate law:
[tex]Rate=k[A]^1[B]^1[/tex]
y =1= order with respect to B