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The rate law is an expression for the reaction rate in terms of concentrations of chemical species involved in the reaction. For example, Rate = k [A]m [B]n. where k is a rate constant, m is reaction order with respect to A, n is the reaction order with respect to B, and m+n is the overall reaction order. The rate constant is independent of the concentrations of the chemical species involved in the reaction.
Therefore, the rate law is \[r =2.0[A][B]^2\] The order of the reaction with respect to A is 1 and with respect to B is 2; the overall reaction order is as follows: 1 + 2 = 3. To calculate k, substitute the values from any one of the above trials into the rate law: 2.0 M/sec = k(1.00 M)(1.00M) 2 \[k = 2.0\; M^{-2}\; sec^{-1}\]