The Rate Law for the Hydrolysis of Thioacetamide (CH₃CSNH₂)

The rate law for the hydrolysis of thioacetamide (CH₃CSNH₂) ,
CH₃CSNH₂(aq) + H₂O(l) → H₂S(g) + CH₃CONH₂(aq)
Is Rate = k[H⁺][CH₃CSNH₂].If,during the course of the reaction,some solid sodium hydroxide is added to the reaction mixture,then

A) the reaction rate decreases,but k remains the same.
B) the reaction rate remains the same,but k decreases.
C) the reaction rate increases,but k remains the same.
D) there is no change in the reaction rate or the rate constant.
E) the reaction rate remains the same,but k increases.