107 765
Assignments Done
100%
Successfully Done
In June 2024

# Answer to Question #204073 in Chemical Engineering for Ase esla

Question #204073

During exponential phase in batch culture, the growth rate of a culture is proportional to the concentration of cells present. When Streptococcus bacteria are cultured in milk, the concentration of cells doubles in 50 min. If this rate of growth is maintained for 8h, what is the final concentration of cells relative to the inoculum level?

1
2021-06-07T05:50:09-0400

total time of growth = 8 hours

doubling time= 50 minutes

"0\\ min \\to50\\ min \\to 1\\ hr\\ 40\\ min \\to 2\\ hr\\ 30\\ min\\to 3\\ hr\\ 20\\ min \\to 4\\ hr\\ 10\\ min\\to 5\\ hr \\to 5\\ hr\\ 50\\ min\\to6\\ hr\\ 40\\ min\\to 7\\ hr\\ 30\\ min\\to 8\\ hr\\ 20\\ min"

Assuming that the concentration of the culture at 0 minutes is x cells/cm³

Just before 8 hours, there are 10 divisions.

"\\therefore" the concentration of the culture increases by "x \u00d7 2^{10}", which is equivalent to 1024x.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!