Asked by max
My teacher wants me to use this formula for half life question C(t) = Ce^-kt but i used a different formula plz help.
the question is:
A radioactive isotope has a half life of 30 years. If we started off with 10 mg of this isotope 12 years ago:
a) Find and expression for the amount of the isotope that is still active using time t measured in years.
b) How much of the isotope do we have at the present time?
c) What is the present instantaneous rate of decay? Show a solution using the f prime of x = the limit as h approaches 0 of f(x+h) – f(x) all over h?
d) Show a graph of the quantity of isotope over 100 years.
the question is:
A radioactive isotope has a half life of 30 years. If we started off with 10 mg of this isotope 12 years ago:
a) Find and expression for the amount of the isotope that is still active using time t measured in years.
b) How much of the isotope do we have at the present time?
c) What is the present instantaneous rate of decay? Show a solution using the f prime of x = the limit as h approaches 0 of f(x+h) – f(x) all over h?
d) Show a graph of the quantity of isotope over 100 years.
Answers
Answered by
Steve
so, what formula did you use? was it
10*(1/2)^(t/30) ?
If so, just recall that 1/2 = e^(-ln2), so that is the same as
10e^(-ln2/30 t)
Now just plug in your various numbers.
10*(1/2)^(t/30) ?
If so, just recall that 1/2 = e^(-ln2), so that is the same as
10e^(-ln2/30 t)
Now just plug in your various numbers.
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