When the temperature of a reaction A + B C is increased from 300 K to 310 K the rate constant increases by 12 % . What is the Activation energy of the reaction?

Step-by-step solution

The Arrhenius equation is given by ( k₂ k₁ ) = E_a R ( T₂ - T₁ T₁ T₂ ) . Given T₁ = 300 K , T₂ = 310 K , and k₂ = 1.12 k₁ . Substituting these values into the equation: (1.12) = E_a 8.314 J mol ⁻¹ K ⁻¹ ( 310 - 300 300 310 ) 0.1133 = E_a 8.314 ( 10 93000 ) 0.1133 = E_a 8.314 1 9300 E_a = 0.1133 8.314 9300 J/mol E_a = 8762.5 J/mol 8.76 kJ/mol . Answer: 8.76 ~kJ / mol