To calculate the rate of the reaction using the rate law ( \text{Rate} = k[A]^m[B]^n ), where ( k = 0.1 ), ( [A] = 1 , \text{M} ), and ( [B] = 2 , \text{M} ), we first need to determine the values of ( m ) and ( n ). Assuming the reaction is second-order in A and second-order in B (i.e., ( m = 2 ) and ( n = 2 )), the rate would be calculated as:
[ \text{Rate} = 0.1 \times (1)^2 \times (2)^2 = 0.1 \times 1 \times 4 = 0.4 , \text{M/s}. ]
Thus, the rate of the reaction is 0.4 M/s.
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