500 grams of Murphonium is found to decay radioactively to 200g in 5 hours. If this decay is exponential, what is the half-life of Murphonium? Note: Not a real substance or science problem, also use the half life equation to solve (create an equation, then solve).
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OpenStudy (anonymous):
man, there is a half life equation already in your textbook
OpenStudy (anonymous):
I don't have one...
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
\[f(t) = b * (\frac{ 1 }{ 2 })^{\frac{ t }{ h }}\]
OpenStudy (anonymous):
b = 500 grams
t = 200 grams
h = 5
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OpenStudy (anonymous):
I got 0.0000000045
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
That doesn't make sense
OpenStudy (anonymous):
well that's the equation in my book
OpenStudy (anonymous):
well what are you looking for
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OpenStudy (anonymous):
wait sorrry
OpenStudy (anonymous):
do this
b = 500
f(t) = 200
t = 5
OpenStudy (anonymous):
now find h
OpenStudy (anonymous):
h is half-life
OpenStudy (anonymous):
\[200 = 500*(\frac{ 1 }{ 2 })^{\frac{ 5 }{ h}}\]
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OpenStudy (anonymous):
now find h
OpenStudy (anonymous):
@CaptainSwaggy
OpenStudy (anonymous):
now you can solve this equation using properties of logs to find your half-life @CaptainSwaggy