Based on the growth data of a bacterial culture presented below, determine μ (specific growth rate)....
- Based on the growth data of a bacterial culture presented below, determine μ (specific growth rate).
|
Time (Hour) |
X (Cell Concentration, Cells/L) |
|
1 |
1,100,000 |
|
2 |
1,600,000 |
|
3 |
2,620,000 |
|
4 |
3,650,000 |
|
5 |
6,080,000 |
|
6 |
9,900,000 |
|
7 |
18,000,000 |
|
8 |
28,100,000 |
|
9 |
39,100,000 |
|
10 |
70,100,000 |
|
11 |
102,000,000 |
Homework Answers
Constant of proportionality = u (mu)
This is an index of growth rate.
u = [InNt - InNo] ÷ [t - to]
In is integral of.
Integral is calculated by finding log to the base 10 value multiplied by 2.303
[(log10 Nt - log10 No) X 2.303] ÷ ( t - to )
(t - to) = 11 - 1 = 10
Nt log to the base ten (logNt10) of 102000000 is = 8.01 ( from log table or web calculator)
logNo 10 of 1100000 is = 6.04 ( from log table or web calculator)
8.01- 6.04 = 1.97
1.97 X 2.303 = 4.54
So [(log10Nt - log10 No)2.303] ÷ (t-to)
Giving values = 4.54 ÷ 10
= 0.454/hr
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