Map onald McQuarrie Peter A.Rock-Ehan Gallogly Suppose that you 100 bacteria int
ID: 987566 • Letter: M
Question
Map onald McQuarrie Peter A.Rock-Ehan Gallogly Suppose that you 100 bacteria into a flask containing nutrients for the bacteria and that you find the following data at 37 t (min) Number of bacteria 19.0 38.0 57.0 76.0 100 200 400 800 1600 What is the order of the rate of production of the bacteria? How many bacteria will be present after 133 min? Number O zero order 25600 bacteria first order O second order What is the rate constant for the process? units 0.0365 min 1 Tools DOLBY ADVANCED AUDIO I Virtual SurroundSound F5 F6 F7 F8 F9 F10 F11 F12 PrtSc PauseExplanation / Answer
The model that best describes this type of phenomea is the exponential
i.e.
A = A0*exp(-kt)
A = population at time t
A0 = intiial population
k = constant of growth
t = time
then
Let us find firswt K, which is constant
A0 = 100 (time 0)
A= 1600 (time 76)
then
A = A0*exp(-kt)
1600 = 100 * exp(-k*76)
k = ln(160)/-76 = -0.0667
A = A0*exp(-kt) turns to
A = 100*exp(0.0667*t)
then
for t = 133
apply model
A = 100*exp(0.0667*133)
A = 712311.208856 baterias