Chemical Kinetics Question 319
Question: The rate of a first order reaction is $ 1.5\times {10^{-2}}mol{L^{-1}}{{\min }^{-1}} $ at 0.5 M concentration of the reactant. The half-life of the reaction is
Options:
A) 0.383 min
B) 23.1 min
C) 8.73 min
D) 7.53 min
Show Answer
Answer:
Correct Answer: B
Solution:
[b] For a first order reaction, $ A\to $ Products $ r=k[A],or,k=\frac{r}{[A]} $
$ \Rightarrow k=\frac{1.5\times {10^{-2}}}{0.5}=3\times {10^{-2}} $ Further, $ {t_{1/2}}=\frac{0.693}{k}=\frac{0.693}{3\times {10^{-2}}}=23.1 $
