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spayn [35]
3 years ago
11

A little help please?

Mathematics
1 answer:
Tasya [4]3 years ago
7 0
3x-10+2x=115
5x-10=115
5x=125
x=25

m<b=3(25)-10=65
m<C=2×25=50
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The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 10 gram mass of americium-241
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<h2>Answer: 816 years</h2>

This problem can be solved using the <u>Radioactive Half Life Formula: </u>

<u />

A=A_{o}.2^{\frac{-t}{h}}   (1)

Where:

A=2.7g is the final amount of the material

A_{o}=10g is the initial amount of the material

t is the time elapsed  (the quantity we are asked to find)

h=432y is the half life of americium-241

Knowing this, let's find t from (1):

2.7g=(10g).2^{\frac{-t}{432y}}  

\frac{2.7g}{10g}=2^{\frac{-t}{432y}}  

0.27g=2^{\frac{-t}{432y}}  

Applying natural logarithm in both sides:

ln(0.27g)=ln(2^{\frac{-t}{432y}})  

-1.309=-\frac{t}{432y}ln(2)  

-t=\frac{(-1.309)(432y)}{0.693}  

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<u>Finally:</u>

t=816y

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