Respuesta :
Answer: 100 grams of the parent isotope will remain after one half life.
Explanation:
Mass of the isotope present at initial stage = [tex]N_o=200 g[/tex]
The mass of the parent isotope left after the time ,t=N
Time taken by the samle ,t = [tex]t_{\frac{1}{2}}[/tex]
The half life of the sample :[tex]t_{\frac{1}{2}}[/tex]
[tex]N=N_o\times e^{-\lambda t}[/tex]
[tex]\lambda =\frac{0.693}{t_{\frac{1}{2}}}[/tex]
[tex]\ln[N]=ln[N^o]-\frac{0.693}{t_{\frac{1}{2}}}\times t_{\frac{1}{2}}[/tex]
[tex]2=\frac{[N_o]}{[N]}[/tex]
[tex][N]=\frac{N_o}{2}=\frac{200 g}{2}=100 g[/tex]
100 grams of the parent isotope will remain after one half life.
