The height of mercury in a closed-end manometer is 655 mm and the atmospheric pressure is 760 mm Hg.
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The radioactive decay obeys first order kinetics
the rate law expression for radioactive decay is
Where
A0 = initial concentration
At = concentration after time "t"
t = time
k = rate constant
For first order reaction the relation between rate constant and half life is:
Let us calculate k
k = 0.693 / 72 = 0.009625 years⁻¹
Given
At = 0.25 A0
time = 144 years
So after 144 years the sample contains 25% parent isotope and 75% daughter isotopes**
Simply two half lives