The half life of a certain substance is 19 years. Use the exponential decay model A = A_0 e^{kt}...
Question:
The half life of a certain substance is 19 years. Use the exponential decay model {eq}A = A_0 e^{-kt} {/eq} to determine how long it will take for a sample of the substance to decay to 66% of the original amount.
Exponential Decay Model Problem
Exponential Decay Model is
{eq}A = A_0 e^{-kt} {/eq}.
Where:
A = Final amount of the substance
Ao = Initial amount of the substance
k = rate decay constant
t = time
This model is used to predict the amount of substance remained after time has passed. This model is useful if the rate of decay is constant. If the rate of decay changes overtime then this model should not be used.
Answer and Explanation: 1
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View this answerStep 1: Determine the rate decay constant
> The formula for half life ({eq}t_{\frac{1}{2}} {/eq}) is
{eq}t_{\frac{1}{2}} = \frac{ln...
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Exponential Decay | Definition, Function & Example
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Chapter 5 / Lesson 7
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In this lesson, learn about exponential decay and find real-life exponential decay examples. Learn how to use the model to solve exponential decay example problems.
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