In a first order reaction 87.5 % of reactant is converted in to product in 15 minutes. The rate constant for the reaction is given by

Step-by-step solution

87.5 % of reactant is converted into product in 15 minutes, means 12.5 % remains unreacted [ A ]₀=100, [ ~A ]_ t =100-87.5=12.5k= 2.303 15 ₁₀ [A]₀ [A]_ t k= 2.303 15 ₁₀ 100 12.5 k= 2.303 15 ₁₀ 8= 0.693 5 ⁻¹