Q - The inversion of cane sugar proceeds with a constant half life of 500 minutes at pH = 5 for any concentration of sugar when pH is changed to 4, the half life becomes 50 minutes. Deduce the rate law expression for inversion of sugar.
Since half life is constant at a given pH, it is first order with respect to sucrose. if concentration of H+ increases by 10 times, half life decreases by 10 times. so it is second order with respect to H+.
So the rate law is R = [Sucrose] [H+]2