During bioconversion of sucrose to citric acid by Aspergillus niger,
final samples of 6 batches of fermentation broth were analyzed for citric acid content.
The results (in g/L) were found to be
47.3, 52.2, 49.2, 52.4, 49.1 and 46.3.
Q.54
The mean value of acid concentration will be
Options:
(A) 49.4
(B) 51.0
(C) 48.2
(D) 50.8
Mean Citric Acid Concentration in Fermentation Broth by Aspergillus niger
Aspergillus niger is widely used for industrial production of citric acid.
During bioconversion of sucrose, analyzing the mean citric acid concentration
from multiple fermentation batches helps evaluate process consistency and yield.
Given Data
Citric acid concentration values (g/L) from 6 batches:
- 47.3
- 52.2
- 49.2
- 52.4
- 49.1
- 46.3
Formula Used
Mean = (Sum of all observations) / (Number of observations)
Step-by-Step Calculation
Sum of values:
47.3 + 52.2 + 49.2 + 52.4 + 49.1 + 46.3 = 296.5
Number of samples, n = 6
Mean = 296.5 / 6 = 49.42 g/L
After rounding off:
Mean ≈ 49.4 g/L
Correct Answer
Option (A): 49.4 g/L
Conclusion
The correct mean citric acid concentration from six fermentation batches of
Aspergillus niger is:
49.4 g/L
