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Dvinal [7]
3 years ago
6

A sample of rock is found to contain 200 grams of a parent isotope.how many grams of the parent isotope will remain after one ha

lf life
Biology
2 answers:
Marianna [84]3 years ago
7 0

Answer:

50

Explanation:

emmasim [6.3K]3 years ago
5 0

Answer: 100 grams of the parent isotope will remain after one half life.

Explanation:

Mass of the isotope present at initial stage = N_o=200 g

The mass of the parent isotope left after the time ,t=N

Time taken by the samle ,t = t_{\frac{1}{2}}

The half life of the sample :t_{\frac{1}{2}}

N=N_o\times e^{-\lambda t}

\lambda =\frac{0.693}{t_{\frac{1}{2}}}

\ln[N]=ln[N^o]-\frac{0.693}{t_{\frac{1}{2}}}\times t_{\frac{1}{2}}

2=\frac{[N_o]}{[N]}

[N]=\frac{N_o}{2}=\frac{200 g}{2}=100 g

100 grams of the parent isotope will remain after one half life.

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