Question

) If the half-life of 238Pu is 87.7 yr, write a function of the form =QtQ0e−kt to model the quantity Qt of 238Pu left after t years. Round the value of k to five decimal places. Do not round intermediate calculations.

Answer 1

Answer:

0.079

Step-by-step explanation:

According to the given situation, the calculation of the value of k is presented as follows:

$Q(t)= Q_0e^{-kt}\\\\ 0.5Q_0 = Q_0e^{-k(97.7)}\\\\ 0.5 = e^{-k(87.7)}$

now,

$k = \frac{In0.5}{-87.7}$

After solving the above equation we will get the value of k.

= 0.079

Therefore for determining the value of k we simply solve the above equation i.e. by considering all the information mentioned in the question