A pure culture of Nitrosomonas was grown at 20°C under batch conditions. The following experimental data were collected. Time (h) 2.0 5.0 10.0 20.0 25.0 30.0 Nitrosomonas Concentration, X, (mg/L) 102 105 117 123 130 137 Rearranging of Equation (4.50) results in the following equation which can be used for determining the specific growth rate of the culture. In(X₂) = ln(X) + µt A plot of ln(X₂) versus time (t) will yield a straight line with the slope equal to μ and the y-intercept equal to In(X) or Xo = ex-Intercept. Determine the specific growth rate μ.
A pure culture of Nitrosomonas was grown at 20°C under batch conditions. The following experimental data were collected. Time (h) 2.0 5.0 10.0 20.0 25.0 30.0 Nitrosomonas Concentration, X, (mg/L) 102 105 117 123 130 137 Rearranging of Equation (4.50) results in the following equation which can be used for determining the specific growth rate of the culture. In(X₂) = ln(X) + µt A plot of ln(X₂) versus time (t) will yield a straight line with the slope equal to μ and the y-intercept equal to In(X) or Xo = ex-Intercept. Determine the specific growth rate μ.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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![### Nitrosomonas Culture Growth at 20°C
A pure culture of *Nitrosomonas* was grown at 20°C under batch conditions. The following experimental data were collected:
| Time (h) | *Nitrosomonas* Concentration, \( X_t \) (mg/L) |
|----------|--------------------------------------------|
| 2.0 | 102 |
| 5.0 | 105 |
| 10.0 | 117 |
| 20.0 | 123 |
| 25.0 | 130 |
| 30.0 | 137 |
#### Determining the Specific Growth Rate
By rearranging Equation (4.50), the following equation can be used to determine the specific growth rate of the culture:
\[
\ln(X_t) = \ln(X_0) + \mu t
\]
A plot of \(\ln(X_t)\) versus time (\(t\)) will yield a straight line with:
- The slope equal to \(\mu\)
- The y-intercept equal to \(\ln(X_0)\) or \(X_0 = e^{\text{Y-Intercept}}\)
Determine the specific growth rate \(\mu\) using this linear relationship.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24a60763-065d-4deb-b582-ca07220062f2%2Fcae15b45-c295-4f84-9136-0b0e02566b4e%2Flj809sr_processed.png&w=3840&q=75)
Transcribed Image Text:### Nitrosomonas Culture Growth at 20°C
A pure culture of *Nitrosomonas* was grown at 20°C under batch conditions. The following experimental data were collected:
| Time (h) | *Nitrosomonas* Concentration, \( X_t \) (mg/L) |
|----------|--------------------------------------------|
| 2.0 | 102 |
| 5.0 | 105 |
| 10.0 | 117 |
| 20.0 | 123 |
| 25.0 | 130 |
| 30.0 | 137 |
#### Determining the Specific Growth Rate
By rearranging Equation (4.50), the following equation can be used to determine the specific growth rate of the culture:
\[
\ln(X_t) = \ln(X_0) + \mu t
\]
A plot of \(\ln(X_t)\) versus time (\(t\)) will yield a straight line with:
- The slope equal to \(\mu\)
- The y-intercept equal to \(\ln(X_0)\) or \(X_0 = e^{\text{Y-Intercept}}\)
Determine the specific growth rate \(\mu\) using this linear relationship.
Expert Solution
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A pure culture of Nitrosomonas was grown at format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%229.5%22%20y%3D%2216%22%3E20%3C%2Ftext%3E%3Ctext%20font-family%3D%22math138af86134b65d0f10fe33d30dd%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2222.5%22%20y%3D%2216%22%3E%26%23xB0%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2232.5%22%20y%3D%2216%22%3EC%3C%2Ftext%3E%3C%2Fsvg%3E)
under batch conditions. The following experimental data were collected :
| TIME(h) | Nitrosomonas Concentration, Xt (mg/L) |
| 2 | 102 |
| 5 | 105 |
| 10 | 117 |
| 20 | 123 |
| 25 | 130 |
| 30 | 137 |
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