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Half Life Equation For Second Order. Learn the half life formula here. What is the derivation for the half life of a second order reaction with:
Order reaction , s.j.shah from www.slideshare.net
1 [ a] = 1 [ a] 0 + 2 k t. The same cannot be said for zero and second order; $$\frac{1}{0.5[\ce{a}]_\circ} = k_2t_{50\%} + \frac{1}{[\ce{a}]_\circ} $$
Order reaction , s.j.shah
For a second order reaction (halflife increases with decreasing concentration.) for a zero order reaction aproducts , rate = k: T 1/2 is the half life. Now substituting t = t 1 / 2 and [ a] = [ a] 0 2. Similarly, for half life, substitute $t = t_{50\%}$ and ${[\ce{a}]} = 0.5{[\ce{a}]_\circ}$ in equation $(2)$: