The half life of an isotope X is 3 days how long will it take for 1/2 of a 10 G sample to decay
1 answer:
Answer: It will take 3 days for half of a 10 g sample to decay.
Explanation:
Half-life of sample of an isotope X = 3 days
Sample decayed = ![\frac{N_o}{2}=\frac{10 g}{2 g}=5 g](https://tex.z-dn.net/?f=%5Cfrac%7BN_o%7D%7B2%7D%3D%5Cfrac%7B10%20g%7D%7B2%20g%7D%3D5%20g)
N=
, time = t
![\ln[\frac{5}{10}]=-0.231\times t](https://tex.z-dn.net/?f=%5Cln%5B%5Cfrac%7B5%7D%7B10%7D%5D%3D-0.231%5Ctimes%20t)
![\ln\frac{1}{2}=-0.693=-0.231\times t](https://tex.z-dn.net/?f=%5Cln%5Cfrac%7B1%7D%7B2%7D%3D-0.693%3D-0.231%5Ctimes%20t)
t = 3 days
It will take 3 days for half of a 10 g sample to decay.
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