Question
What will be the half-life of the first order reaction for which the value of rate constant is $$200\,{s^{ - 1}}?$$
A.
$$3.46 \times {10^{ - 2}}\,s$$
B.
$$3.46 \times {10^{ - 3}}s$$
C.
$$4.26 \times {10^{ - 2}}\,s$$
D.
$$4.26 \times {10^{ - 3}}\,s$$
Answer :
$$3.46 \times {10^{ - 3}}s$$
Solution :
$$\eqalign{
& {t_{\frac{1}{2}}} = \frac{{0.693}}{k} \cr
& \,\,\,\,\,\,\, = \frac{{0.693}}{{200}} \cr
& \,\,\,\,\,\,\, = 3.46 \times {10^{ - 3}}\,s \cr} $$