The reaction A + 2 B → C has the rate law rate = k[A][B]. By what factor does the rate of reaction increase when both [A] and [B] are doubled?

Question

The reaction A + 2 B → C has the rate law rate = k[A][B]. By what factor does the rate of reaction increase when both [A] and [B] are doubled?

Answer 1

rate = k[A][B]

When both are doubled, the rate increases by 4 times

rate = k[1][1] = 1k ... original condition

rate = k[2][2] = 4k ... doubling [A] and [B]