Question

What is the reaction rate constant for the reaction A + B → C if the initial concentration of A is 0.2 M, the initial concentration of B is 0.3 M, the initial rate of reaction is 0.1 M/s, and the reaction is of first order with respect to both A and B?

Answer 1

For a reaction of first order with respect to both A and B, the rate law can be expressed as:rate = k[A]^1[B]^1where rate is the initial rate of reaction, k is the rate constant, and [A] and [B] are the initial concentrations of A and B, respectively.Given the initial rate of reaction  0.1 M/s , the initial concentrations of A  0.2 M  and B  0.3 M , we can solve for the rate constant  k :0.1 M/s = k 0.2 M  0.3 M To find the value of k, divide both sides of the equation by  0.2 M  0.3 M :k =  0.1 M/s  /   0.2 M  0.3 M  k = 0.1 / 0.06k = 1.67 s^-1The reaction rate constant  k  for the reaction A + B  C is 1.67 s^-1.