Answer : The substances half life in days is, 5.6 days.
Step-by-step explanation :
Half life : It is defined as the amount of time taken by a radioactive material to decay to half of its original value.
All radioactive decays follow first order kinetics.
The relation between the half-life and rate constant is:
[tex]k=\frac{0.693}{t_{1/2}}[/tex]
where,
k = rate constant = 0.1235 per days
[tex]t_{1/2}[/tex] = half-life
Now put all the given values in the above formula, we get:
[tex]0.1235\text {days}^{-1}=\frac{0.693}{t_{1/2}}[/tex]
[tex]t_{1/2}=5.6\text{ days}[/tex]
Thus, the substances half life in days is, 5.6 days.