At 2 pm, you start a culture of microbe with 2,000 cells. The cell growth has...

At 2 pm, you start a culture of microbe with 2,000 cells. The cell growth has a lag phase of 4 hours. At 9 pm, the culture enters stationary phase with 128,000 cells. How many cells does this culture have at 8 pm? a. 4,000 b. 8,000 c. 16,000 d. 32,000 e. 64,000

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Expert Solution

Given,

Nt1 = 128,000 cells

No = 2000 cells

n1 = number of generations

t = time

Therefore, using general equation for growth curve

Nt1 = No x 2n1

128,000 = 2000 x 2n1

2n1 = 64

2n1 = 26 (64 = 26)

n1 = 6

Number of generations (n1) = 6

time (t2) = 2 hrs (this is because starting from 2 p.m. till 6 p.m. there was lag phase so no growth and after 6 p.m. log phase initiates, so given at 8 p.m. the time till be 2 hrs :(8p.m -6p.m.))

At t1 =3 hrs previously, n1 = 6

So, at t = 2 hrs now, n2 = 6/3 x 2 = 4

Hence number of generation at 8 p.m. is 4 (n2)

Therefore, using equation to calculate number of cells at 8 p.m. i.e after 2 hrs

Nt2 = No x 2n2

= 2000 x 24

= 2000 x 16

= 32,000

Hence, Nt2 after 2 hrs at 8p.m. is 32,000 cells

So, option d is correct.

gladiator answered 1 year ago

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