The rate constant, k for a first order reaction, C ₂ H ₅ I ( g ) C ₂ H ₄( ~g )+ HI ( g ) is xs ⁻¹ at 600 ~K and 4 x s ⁻¹ at 700 ~K . The energy of activation of the reaction (in kJ mol ⁻¹ ) is

Step-by-step solution

K ₂ ~K ₁ = E _ a 2.303 R ( T ₂- T ₁ ~T ₁ ~T ₂ ) aligned & ( 4 x x )= E _ a 2.303(8.314) ( 700-600 700 600 ) & 0.602= E _ a 19.147 (2.38 10⁻⁴ ) & E _ a =48548.3 ~J =48.54 ~kJ & 48.16 ~kJ . aligned