Difficulty: Medium
Correct Answer: detergent like molecules are added
Explanation:
Introduction:
OTR depends on the product k_La * (C* − C). The interfacial area a is heavily influenced by bubble size and coalescence behavior. Additives that prevent bubble coalescence generally increase a, thereby improving OTR for a given gas flow and agitation level.
Given Data / Assumptions:
Concept / Approach:
Smaller, more numerous bubbles increase interfacial area and k_La. Detergent-like molecules can stabilize small bubbles, limiting coalescence and raising OTR. In contrast, many antifoams and oils promote coalescence, decreasing the interfacial area and reducing k_La. Temperature effects are mixed but typically reduce OTR due to falling C*.
Step-by-Step Solution:
Identify which additives decrease bubble size/coalescence → detergents.Recognize antifoams/oils commonly enlarge bubbles → reduced a, lower k_La.Consider temperature: C* decreases with T; net OTR may fall.Choose the option that most consistently raises OTR: detergent-like molecules.
Verification / Alternative check:
k_La measurements often rise in the presence of mild surfactants that inhibit coalescence, holding gas flow and power constant.
Why Other Options Are Wrong:
Common Pitfalls:
Assuming any additive that changes surface tension improves OTR; many antifoams do the opposite of detergents. Always confirm with k_La testing.
Final Answer:
detergent like molecules are added
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