Answer: The rate of reaction increases by a factor of 4.
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]X+2M\rightarrow products[/tex]
[tex]Rate=k[X][M]^2[/tex]
k = rate constant
order wrt X = 1
order wrt M = 2
a) If [X] is increased from X to 4X,
[tex]Rate'=k[4X]^1[M]^2[/tex]
[tex]Rate'=k[4]^1[X]^1[M]^2[/tex]
[tex]Rate'=4\times Rate[/tex]
Thus the rate of reaction increases by a factor of 4.