The order of a reaction W + X Y + Z with respect to W is 3 and with respect to X is 1. If the concentrations of both W and X are tripled, the rate of reaction will increase by ________ times

Step-by-step solution

The rate law for the reaction W + X Y + Z is given by r = k[W]^3[X]^1 . Let the initial concentrations be [W]₁ and [X]₁ . The initial rate is r₁ = k[W]₁^3[X]₁^1 . When the concentrations are tripled, the new concentrations are [W]₂ = 3[W]₁ and [X]₂ = 3[X]₁ . The new rate is r₂ = k(3[W]₁)^3(3[X]₁)^1 . r₂ = k 27[W]₁^3 3[X]₁ . r₂ = 81 k[W]₁^3[X]₁ = 81 r₁ . Therefore, the rate of reaction increases by 81 times. Answer: 81