The k value for the reaction is k=5.56*10^3 M^-3/min and the rate law will be in order 3.
Explanation:
Finding the K value for the reaction
Write the rate equation,
Rate=K[A]*[A] [B]*[B]
Taking the rate values from the equation no 1 data
let K=5.00 M/min A=0.200 B=0.150
Rate=K[A]*[A] [B]*[B]
5.00 M/min = k(0.200)2(0.150)2 = 0.0009k
k = 5.00/0.0009
k=5556
k=5.56*10^3 M^-3/min
Then by solving the rate law we will get ,
The Rate law will be k[A]2[B]4.