Math Problem Statement
A certain substance in a laboratory is accidentally exposed to a reagent and starts to decay. However, this goes on for some time before it is noticed. Once the lab scientists notice what is happening, they decide to measure the remainder of this phenomenon until the substance has completely decayed. Hours Mass of substance (g) 4 34.5 5 21.7 6 13.7 7 8.6 8 5.4
This type of decay is known to follow an exponential curve. About how many grams of the substance were initially exposed to the reagent?
Solution
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Math Problem Analysis
Mathematical Concepts
Exponential Decay
Algebra
Logarithms
Formulas
Exponential decay formula: M(t) = M_0 * e^(-kt)
Natural logarithm to solve for the decay constant: k = -ln(M(t2)/M(t1)) / (t2 - t1)
Theorems
Exponential Decay Theorem
Suitable Grade Level
Grades 10-12
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