A arrow B The above reaction is of zero order. Half life of this reaction is 50 min. The time taken for the concentration of A to reduce to one-fourth of its initial value is min. (Nearest integer)

Question

A arrow B The above reaction is of zero order. Half life of this reaction is 50 min. The time taken for the concentration of A to reduce to one-fourth of its initial value is min. (Nearest integer) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Assume reaction starts with 1 mole A ( t 1 / 2=( a /2 k ), K =(1/2 × 50). For 75 % completion a -( a /4)= kt t =(3/4) ( a / k )=(3/4) × (100/ a )=75

Q. $A \to B$
The above reaction is of zero order. Half life of this reaction is $50 min$ . The time taken for the concentration of $A$ to reduce to one-fourth of its initial value is ____ $min$ .
(Nearest integer)

Assume reaction starts with 1 mole $A$
$(t_{1/2} = \frac{a}{2 k}, K = \frac{1}{2 \times 50}$
For $75%$ completion
$a - \frac{a}{4} = k t$
$t = \frac{3}{4} \frac{a}{k} = \frac{3}{4} \times \frac{100}{a} = 75$

Q. A→B The above reaction is of zero order. Half life of this reaction is 50min. The time taken for the concentration of A to reduce to one-fourth of its initial value is ____ min. (Nearest integer)

Assume reaction starts with 1 mole A (t1/2​=2ka​,K=2×501​ For 75% completion a−4a​=kt t=43​ka​=43​×a100​=75

Q. $A \to B$
The above reaction is of zero order. Half life of this reaction is $50 min$ . The time taken for the concentration of $A$ to reduce to one-fourth of its initial value is ____ $min$ .
(Nearest integer)

Assume reaction starts with 1 mole $A$
$(t_{1/2} = \frac{a}{2 k}, K = \frac{1}{2 \times 50}$
For $75%$ completion
$a - \frac{a}{4} = k t$
$t = \frac{3}{4} \frac{a}{k} = \frac{3}{4} \times \frac{100}{a} = 75$