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An initial amount of a radioactive substance y 0 is given, along-(Answered)

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An initial amount of a radioactive substance y0?is given, along with information about the amount remaining after a given time t in appropriate units. For an equation of the form y = y0ekt?that models the situation, give the exact value of k in terms of natural logarithms: y0?= 2.56 lb; After 2 yr, 0.64 lb remains.


y o=2.56 l b

 

y=0.64 lb

 

t=2 yrs

 

The general decay equation is:

 

y= y o e

 


 

kt

 


 

Since the quantity of substance decreases with time, the equation should be rewritten as:

 

y= y o e?kt

 

Substitute the...

 

Paper#9210390 | Written in 27-Jul-2016

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