In milk at `37^(@)C` , lactobalicillus acidophilus has a generation time of about 75 minutes . Calculate the population relative to the initial value

Question

In milk at `37^(@)C` , lactobalicillus acidophilus has a generation time of about 75 minutes . Calculate the population relative to the initial value

In milk at `37^(@)C` , lactobalicillus acidophilus has a generation time of about 75 minutes . Calculate the population relative to the initial value at 30,60,75,and 150 minutes

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

For gwoth kinetics
`=(2.303)/(t)log_(10).((a)/(a+x))`
`k=-(2.303)/(t)log_(10).((N_(0))/(N))`
Generation time =75 minutes , a+x=2
`k=-(2.303)/(75)log_(10).((1)/(1+1))=0.00924"min"^(-1)`
After 30 minutes
`k=(-2.303)/(t)log_(10).((N_(0))/(N))`
`0.00924=-(2.303)/(30)log_(10).((N_(0))/(N))`
`(N)/(N_(0))=1.319~~1.32`
Similarly, we may calulate after 60,75,90, and 150 minute.