Answer:
The correct answer is option C.
Explanation:
The given rate law of reaction :
[tex]Rate(R) = k [X][Y]^2 [/tex]
Rate of the reaction after doubling the concentration of Y : R'
[tex]R'=k[X][2Y]^2[/tex]
[tex]R'=k[X]4[Y]^2[/tex]
[tex]R'=4k[X][Y]^2[/tex]
[tex]R'=4\times R[/tex]
The rate of the reaction will increase by the factor of 4.