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AfilCa [17]
3 years ago
14

In 1978, a 200-gram sample of cobalt-60 was buried in the Yucca Mountains, just northwest of Las Vegas, Nevada. How much of this

sample was present in 2004? The half-life of cobalt-60 is 5.23 years.
Chemistry
1 answer:
Mama L [17]3 years ago
3 0
1978 to 2004 is <em>26 years</em>.
Every 5.23 years, half of our 200-gram sample decays.
It has reached its half life ~4.97 times.
We use this formula to find our new amount:

200\times(\frac12)^\frac{26}{5.23}

Every time it reaches its half life, it will be halved...the fractional exponent there is to pick up minute differences like in our 4.97.

200\times(\frac12)^{4.97131931}

200\times0.0318774644

\boxed{6.37549288\ grams}
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