The following data are obtained for a reaction, X + Y Products. array llll Expt. & [ X ₀ ] / mol & [ Y ₀ ] / mol & rate / mol L ⁻¹ ~s ⁻¹ 1 & 0.25 & 0.25 & 1.0 10⁻⁶ 2 & 0.50 & 0.25 & 4.0 10⁻⁶ 3 & 0.25 & 0.50 & 8.0 10⁻⁶ array The overall order of the reaction is

Step-by-step solution

r = K [ X ]^ x [ Y ]^ y Total order = n = x + y By exp. (1) & (2) array l r ₁ r ₂ = K [.25]^ x [.25]^ y K [.50]^ x [.25]^ y = 1.0 10⁻⁶ 4.0 10⁻⁶ 1 (2)^ x = 1 4 , x =2 array By exp. (1) & (3) array l r₁ r₃ = K[.25]^ x [.25]^ y K[.25]^ x [.50]^ y = 1 10⁻⁶ 8 10⁻⁶ 1 (2)^ y = 1 8 , y=3 array So Total order =2+3=5