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 reaction is t 87 . 5 = x × t 50 The value of x is _ _ _ _ _ _ _ _ _ . (Nearest…

Question

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 reaction is t 87 . 5 = x &#215; t 50 The value of x is _ _ _ _ _ _ _ _ _ . (Nearest integer)

Aicharya · Accepted Answer

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

$A_{t} = A_{0} \times \frac{12.5}{100} = \frac{A_{0}}{8} [87.5 % completed] A_{0} \overset{t_{1 / 2}}{\to} \frac{A_{0}}{2} \overset{t_{1 / 2}}{\to} \frac{A_{0}}{4} \overset{t_{1 / 2}}{\to} \frac{A_{0}}{8} t_{87.5} = 3 t_{1 / 2} So, x = 3$

t 87 . 5 is the time required for the reaction to undergo 87 . 5 % completion and t 50 is the time required…

Solution