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Y_Kistochka [10]
3 years ago
9

The half-life of a radioactive isotope is 20.0 minutes. What is the total amount of a 1.00-gram sample of this sample of this is

otope remaining after 1.00 hour?
Chemistry
2 answers:
kenny6666 [7]3 years ago
8 0
The amount remaining is obtained using the half life data. The total amount remaining after one hour is equal to 1/( e^ (ln2/(20/60))*1). The final answer is 0.125 grams. 
guapka [62]3 years ago
5 0

Answer: 0.125 grams

Explanation:

Radioactive decay follows first order kinetics.

Half-life of give isotope = 20 minutes

\lambda =\frac{0.693}{t_{\frac{1}{2}}}=\frac{0.693}{20}=0.03465min^{-1}

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

N = amount left after time t= ?

N_0 = initial amount  = 1.0 g

\lambda = rate constant

t= time = 1 hour = 60 min

N=1.0\times e^{- 0.03465mi^{-1}\times 60min}

N=0.125g

Thus amount left after 1 hour is 0.125 grams

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