Question:
The term \(k_La\) represents
The term \(k_La\) represents
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The oxygen transfer rate (OTR) is given by
\[
\boxed{
\text{OTR}
=
k_La\left(C^{*}-C_L\right)
}
\]
where \(C^{*}\) is the saturation dissolved oxygen concentration and \(C_L\) is the dissolved oxygen concentration in the broth.
Updated On: Jul 14, 2026
- Oxygen solubility
- Interfacial area only
- Oxygen uptake rate
- Overall gas--liquid mass transfer coefficient
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Recall the meaning of \(k_La\).
In bioprocess engineering,
\[
k_La
=
k_L \times a
\]
where
\[
\begin{aligned}
k_L & = \text{Liquid-film mass transfer coefficient},
a & = \text{Interfacial area per unit volume}.
\end{aligned}
\]
Step 2: Interpret its significance. The product \(k_La\) indicates the efficiency of oxygen transfer from the gas phase to the liquid phase. Hence, \[ \boxed{k_La=\text{Overall volumetric gas--liquid mass transfer coefficient}.} \] Therefore, \[ \boxed{(D)} \] is the correct answer.
Step 2: Interpret its significance. The product \(k_La\) indicates the efficiency of oxygen transfer from the gas phase to the liquid phase. Hence, \[ \boxed{k_La=\text{Overall volumetric gas--liquid mass transfer coefficient}.} \] Therefore, \[ \boxed{(D)} \] is the correct answer.
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