Cooling tower performance: To what theoretical limit can circulating water be cooled in a standard evaporative cooling tower operating with ambient air?

Difficulty: Easy

Correct Answer: Wet-bulb temperature of air

Explanation:


Introduction / Context:
Cooling towers reject heat by partial evaporation of water into an airstream. Understanding the limiting cold-water temperature is essential for plant performance estimates and chiller selection.



Given Data / Assumptions:

  • Evaporative cooling tower operating at near-atmospheric pressure.
  • Air–water contact allows heat and mass transfer (sensible and latent).
  • Negligible heat sources other than process heat load.


Concept / Approach:
The fundamental limit is the entering air wet-bulb temperature (WBT). In an ideal tower with infinite size and perfect contact, the cooled water approaches the WBT asymptotically; it cannot be cooled below the WBT because equilibrium between water temperature and the adiabatic saturation temperature of the air defines the driving potential.



Step-by-Step Solution:

Define approach: approach = cold-water temperature − entering air wet-bulb temperature.In the ideal limit, approach → 0, so cold water → WBT.Therefore, the minimum achievable cold-water temperature equals the entering air wet-bulb temperature.


Verification / Alternative check:
Psychrometric analysis: adiabatic saturation process aligns with wet-bulb lines; at equilibrium, water temperature equals the air’s adiabatic saturation (wet-bulb) temperature.



Why Other Options Are Wrong:

  • Dew point: lower than WBT only at very dry conditions; towers cannot reach dew point by evaporative contact.
  • Dry-bulb: generally higher than WBT; not the limiting temperature in evaporative cooling.
  • “Ambient air temperature” is ambiguous and often equals dry bulb; it is not the limit.


Common Pitfalls:
Confusing dew point with wet bulb; dew point governs condensation processes, not evaporative cooling limits.



Final Answer:
Wet-bulb temperature of air

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