Consider the rate law. rate=𝑘[A]𝑥

Question

Determine the value of  if the rate doubles when  is doubled.

x= _____

Determine the value of  if the rate quadruples when  is doubled.

x= _____

Answer 1

I think the rate law is written as rate = k[A]^x

If rate doubles when [A] doubles, this is 1st order and the rate law is: rate = k[A] (so x = 1)

If rate quadruples when [A] is doubled, this is 2nd order and the rate law is: rate = k[A]² (so x = 2)