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Thank you for the opportunity to help you with your question!

a)

We need to find the rate constant. The general formula is:

P = A0e^(kt)

100 = 81e^(k*1)

100/81 = e^k

ln(100/81) = k

k = .211

So the equation is

n(t) = 8100*e^(0.211t)

b) n(t) = 8100*e*(.211*2)

n(t) = 8100*e^.422

n(2) = 12352.57

c)

16200 = 8100*e^(0.211t)

ln(2) = 0.211t

t(2x) = ln(2)/0.211 = 3.3 hrs

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