chapter 6. CHEMICAL KINETICS class 12 chemistry textbook solution

4. Solve

vii. A first order reaction takes 40 minutes for 30% decomposition. Calculate its half life. (77.66 min)

Answer:- 

Given:

[A]0 = 100%, [A]t = 100 - 30 = 70%, t = 40 min

To find:

Half-life of reaction (t1/2)

Formula:

k = 2.303/t * log10[A]0/[A]t

Calculation:

Substituting these values into the formula:

k = 2.303/40 min * log10 100/70

= 2.303/40 min * log10 1.429

= 2.303/40 min * 0.155

= 0.008924 min-1

t1/2 = 0.693/k = 0.693/(0.008924 min-1) = 77.66 min

The half-life of the reaction is 77.66 min.

chapter 6. CHEMICAL KINETICS class 12 chemistry textbook solution page 137