SOLUTION: Suppose that a certain radioactive substance has a half-life of 50 years. If there are presently 7500 grams of the substance, how much will remain after 32 years? Express your answ
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Question 32191This question is from textbook Elementray and Intermediate Algebra
: Suppose that a certain radioactive substance has a half-life of 50 years. If there are presently 7500 grams of the substance, how much will remain after 32 years? Express your answer to the nearest gram.
Please help me solve this equation.
This question is from textbook Elementray and Intermediate Algebra
Answer by Fermat(136) (Show Source): You can put this solution on YOUR website!
The equation to use is,
M=Mo.2^(-t/T)
where
Mo is the original mass
T is the half-life period
t is the time since the start of measuring
M is the mass at time t
You have,
Mo = 7500 gms
T = 50 yrs
t = 32 yrs
M = ?
Using the half-life eqn,
M = 7500*2^(-32/50)
M = 7500*2^(-0.64)
M = 7500*0.641713
M = 4812.85
M = 4813 gms
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