For the first order reaction, 3 X longrightarrow Y concentration varies with time as shown in the following graph. The half-life of the reaction would be

Question

For the first order reaction, 3 X longrightarrow Y concentration varies with time as shown in the following graph. The half-life of the reaction would be (A) 4 minutes (B) 2 minutes (C) 12 minutes (D) 6 minutes

Tardigrade Admin · Accepted Answer

From graph it follows that at time 4 minute from the start of the reaction. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/38deb2508775c172db41af5d66c2efee-.png" /> a-x=(x/3) x=(3 a/4) a-x=a-(3 a/4)=(a/4)

Q. For the first order reaction, $3 X ⟶ Y$ concentration varies with time as shown in the following graph. The half-life of the reaction would be

4 minutes

2 minutes

12 minutes

6 minutes

From graph it follows that at time 4 minute from the start of the reaction.

$a - x = \frac{x}{3}$
$x = \frac{3 a}{4}$
$a - x = a - \frac{3 a}{4} = \frac{a}{4}$

Q. For the first order reaction, 3X⟶Y concentration varies with time as shown in the following graph. The half-life of the reaction would be