Question

1.Determine the generation time by using the following formula :

Generation time =∆ t log 2

Log n – log N

Where: N = number of bacteria at a particular time point during log phase

n = number of bacteria at a second time point during log phase

∆t = time

(This question was not anwsered in my previos question that i posted , please help. )

(please check the details and information needed on this question in my prevoius chegg question i will put the link here )

https://www.chegg.com/homework-help/questions-and-answers/exercise-6-determination-growth-ecoli-conclusion-exercise-able-determine-growth-ecoli-susp-q51207633?trackid=1163DgfS

TIME (in hours)	Number of colonies on plate	Dilution used	Number of cells/ml	Log(Number of cells/ml)
0	10	10-3	1 x 105	11.51
1	184	10-2	1.84 x 105	12.12
2	179	10-5	1790 x 105	19
3	56	10-6	5600 x 105	20.14
4	64	10-5	640 x 105	17.97

Cells/ml at 0 hour = (10) x 103 x 10 = 1 x 105 cells/ml

Cells/ml at 1 hour = (184) x 102 x 10 = 1.84 x 105 cells/ml

Cells/ml at 2 hour = (179) x 105 x 10 = 1790 x 105 cells/ml

Cells/ml at 3 hour = (56) x 106 x 10 = 5600 x 105 cells/ml

Cells/ml at 4 hour = (64) x 105 x 10 = 640 x 105 cells/ml

Answer 1

Generation time : time taken for one generation

Nt = final bacterial count = 640 × 10^5

No = initial bacterial count = 10^5

Total time = 4 hours

n = # generations

Nt = No 2^n

640 × 10^5 = (10^5) 2^n

2^n = 640

n log 2 = log 640

n = log 640 / log 2 = 2.806 / 0.3010 = 9.322

Approximately 9.322 generations arose in 4 hours.

Time taken for 1 generation = 4 / 9.322 = 0.429 hours

0.429 × 60 minutes = 25.74 minutes

Generation time = 26 minutes approx

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