t _ 87 . 5 is the time required for the reaction to undergo 87 . 5 % completion and t _ 50 is the time required for the reaction to undergo 50 % completion. The relation between t _ 87 . 5 and t _ 50 for a first order

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The time for completion of the reaction and concentration of reactant relation is as follows,

${A}_{t} = {A}_{0} \times \dfrac{12 . 5}{100} = \dfrac{{A}_{0}}{8} [ 87 . 5 % completed ] {A}_{0}\overset{{t}_{1/2}}{\to}\dfrac{{A}_{0}}{2}\overset{{t}_{1/2}}{\to}\dfrac{{A}_{0}}{4}\overset{{t}_{1/2}}{\to}\dfrac{{A}_{0}}{8}{t}_{87 . 5} = 3{t}_{1/2}So, x = 3$

t _ 87 . 5 is the time required for the reaction to undergo 87 . 5...

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