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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.