If r=k[A]^2[B] is rate law equation for reaction A+B C , at [A]=1 M and [B]=0.2 M , Calculate rate of reaction if rate constant is 6.25 M ⁻² ~s ⁻¹

Step-by-step solution

Using the rate law r = k[A]^2[B] with k = 6.25 M ⁻² s ⁻¹ , [A] = 1 M , and [B] = 0.2 M : r = (6.25) (1)^2 (0.2) The numerical calculation yields 6.25 0.2 = 1.25 , while dimensional analysis gives M ⁻² M ^2 M = M . Thus r = 1.25 M s ⁻¹ or equivalently 1.25 mol dm ⁻³ s ⁻¹ , matching option A .