Cooling tower terminology — The “cooling range” of a cooling tower refers to which temperature difference?

Chemical Engineering Mass Transfer Difficulty: Easy
Choose an option
  • A
    Cold water leaving the tower minus ambient air wet-bulb temperature
  • B
    Hot water entering the tower minus ambient air wet-bulb temperature
  • C
    Hot water entering the tower minus cooled water leaving the tower
  • D
    None of these
  • E
    Ambient dry-bulb minus ambient wet-bulb temperature

Answer

Correct Answer: Hot water entering the tower minus cooled water leaving the tower

Explanation

Introduction:Cooling tower performance is commonly described using two key temperature differences: the cooling range and the approach. Knowing the exact definitions helps in specifying and evaluating tower duty and effectiveness.

Given Data / Assumptions:

  • Hot water from process enters the tower; cooled water returns to the process.
  • Ambient air provides evaporative cooling; its wet-bulb temperature sets a theoretical lower limit.
  • Steady operation at a given load and ambient condition.

Concept / Approach:The cooling range is defined as Range = T_hot,in − T_cold,out. It measures how much the process water is cooled across the tower. The approach is defined as Approach = T_cold,out − T_wb,air. Range reflects tower heat duty at given flow, while approach reflects proximity to the psychrometric limit and is a measure of tower size/efficiency.

Step-by-Step Solution:Identify inlet hot-water temperature (to tower) and outlet cold-water temperature (from tower).Compute Range = T_hot,in − T_cold,out.Distinguish from Approach = T_cold,out − T_wb.

Verification / Alternative check:Cooling tower specifications list both “range” and “approach”; example: range 10°C, approach 4°C at a given wet bulb—matching the definitions above.

Why Other Options Are Wrong:

  • (a) and (b) incorrectly combine tower water temperatures with ambient wet bulb to define range (these correspond to approach variants).
  • (d) Incorrect since a standard definition exists.
  • (e) Dry-bulb minus wet-bulb defines the psychrometric depression, not cooling range.

Common Pitfalls:Confusing range with approach; assuming smaller approach can be achieved without increasing tower size, airflow, or water distribution quality.

Final Answer:Hot water entering the tower minus cooled water leaving the tower

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