If initial concentration is reduced to 1 / 4 text th in a zero order reaction, the time taken for half the reaction to complete

Question

If initial concentration is reduced to 1 / 4 text th in a zero order reaction, the time taken for half the reaction to complete (A) Remains same (B) Becomes 4 times (C) Becomes one-fourth (D) Doubles

Tardigrade Admin · Accepted Answer

r = K [ A ]0 t 1 / 2=( a /2 K ) ⇒ (1/4)( a /2 K ) ⇒ becomes one fou th of initial half life. ∴ a' ⇒ (1/4) a

Q. If initial concentration is reduced to $1/ 4^{th}$ in a zero order reaction, the time taken for half the reaction to complete

Remains same

Becomes 4 times

Becomes one-fourth

Doubles

$r = K [A]^{0}$
$t_{1/2} = \frac{a}{2 K} \Rightarrow \frac{1}{4} \frac{a}{2 K}$
$\Rightarrow$ becomes one fou th of initial half life.
$∴ a^{'} \Rightarrow \frac{1}{4} a$

Q. If initial concentration is reduced to 1/4th in a zero order reaction, the time taken for half the reaction to complete