Answer:
The half life time of first order reaction is 1.3 sec
Explanation:
Given:
First order rate constant [tex]K = 0.54[/tex] [tex]M^{-1} s^{-1}[/tex]
Initial concentration [tex]= 0.54[/tex] M
From the formula of first order half life time,
[tex]K = \frac{0.693}{t_{\frac{1}{2} } }[/tex]
So half life time is given by,
[tex]{t_{\frac{1}{y2} } } = \frac{0.693}{0.54}[/tex]
[tex]{t_{\frac{1}{y2} } } = 1.3[/tex] sec
Therefore, the half life time of first order reaction is 1.3 sec.