Question

The culture you are working has a doubling time of 2 hours and a cell density of 3 x 10^6 cells per mL. For your experiment, you first dilute the culture 100 fold. Assuming that there is no lab phase and that the cells remain in exponential growth the entire time, what is the cell density (cells/mL) after 10 hours

Answer 1

The cell density (cells/mL) = 15× 10^6 cells per mL.

Calculation of cell density

The doubling time of culture = 2 hours

The cell density after 2 hours = 3 x 10^6 cells per mL

Since the dilution did not affect the lag phase and exponential growth rate, the cell density after 10 hours is calculated below:

2 hour = 3 x 10^6 cells per mL

10 hours = X

Cross multiply,

$x = \frac{10 \times 3 \times10 {}^{6} }{2}$

$x = \frac{30 \times 10 {}^{6} }{2}$

X= 15× 10^6 cells per mL

Therefore, the cell density in (cells/mL) after 10 hours = 15× 10^6 cells per mL.

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