Difficulty: Easy
Correct Answer: >1.5
Explanation:
Introduction / Context:
Reactor geometry influences mixing, gas dispersion, power input, and scale-up rules. For stirred-tank fermenters, the height-to-diameter (H/D) ratio is a simple yet powerful design descriptor. This question asks for the typical H/D range used in practice.
Given Data / Assumptions:
Concept / Approach:
Most production-scale stirred tanks use H/D between roughly 2 and 3 to balance mixing time, oxygen transfer, and structural practicality. Ratios substantially below 1.5 can impair gas dispersion and circulation; much greater than 3 can cause mechanical issues and non-uniformities unless multiple impellers and special internals are used.
Step-by-Step Solution:
1) Recall common design: H/D about 2–3 for many fermenters.2) Compare options: “>1.5” captures this typical range without overstatement, whereas “>3” overshoots and “<1.5” undershoots.3) Therefore, the best general statement is H/D > 1.5.
Verification / Alternative check:
Vendor specifications for industrial glass-lined or stainless fermenters frequently list H/D near 2–3 for aerobic cultures with multiple impellers.
Why Other Options Are Wrong:
“<3” is true but too loose and includes unsuitable low ratios; “>3” is atypical; “<1.5” and “≈1” do not reflect standard fermenter practice.
Common Pitfalls:
Assuming a single “magic” ratio works for all processes; actual choice depends on power number, gas rates, and rheology.
Final Answer:
>1.5
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