Question

What did I do wrong?

Question 3 O out of 15 points If a culture starts out with e4.547 cells per me, and after 37 minutes has 5.87 then what would it's k value be? • Report your answer as a standard decimal • Round to four decimal places • .g. 0.6667, not 0.67, 2/3, or 6.666e-1 Take a deep breathe, expressing the concentration in terms of e will actually make the math easier because the natural logs will drop out when you rearrange the exponential growth equation. Substitute the given values into the exponential growth equation, CF = Coekt, then use the log rules below to help transform the equation to one that can be solved without using a calculator. eq. 1 in C = In eb - In ea eq. 2 In e* = x Selected Answer: 0.0076

Answer 1

Cf=C0e^kt

Cf/C0= e^kt

ln (Cf/C0)= ln (e^kt)

ln Cf- ln C0= kt ln e

ln (e^5.87) - ln (e^4.547)= kt

5.87-4.547=kt

t= 37 minutes

kt= 1.323

if the unit of k is min^-1

t= 37 minutes

k=1.323/37=0.036/min

If unit of k is hr^-1

1 hour= 60 minutes

37 minutes= 37/60=0.62

k= 1.323/ 0.62

= 2.1338 /hr

( you haven`t given options, also the detailed steps are not given so I cannot point out where you did mistake)