When a bio-chemical reaction is carried out in laboratory, outside the human body in absence of enzyme, then rate of reaction obtained is 1 0 - 6 times, the activation energy of reaction in the presence of enzyme is

Step-by-step solution

We know that, Rate of reaction(K) = A e - E / R T ...(i) And, 1 0 6 . K = A e - E c / R T ...(ii) By dividing equation (ii) by (i) 1 0 6 . K K = A e - E c / R T A e - E / R T 10 6 = e E − E c / RT 6 . l n 10 = ( E - E c ) / R T E - E c R T = 2.303 × 6 E - E c = 6 × 2.303 R T or Δ E a = E c - E = - 6 × 2.303 R T