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CivilWater Resources Management
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Which of the following factors do not affect the rate of evaporation?

A

Temperature of liquid

B

Humidity of surrounding air

C

Depth of liquid

D

Surface of liquid

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleCivilWater Resources Management
Option C

Depth of liquid

Quick Summary:

Evaporation is a surface phenomenon where liquid molecules gain sufficient kinetic energy to escape into the vapor phase. Because evaporation occurs only at the interface between the liquid and the atmosphere, the depth of the liquid body does not influence the rate at which molecules leave the surface.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Evaporation is a surface phenomenon where liquid molecules gain sufficient kinetic energy to escape into the vapor phase. Because evaporation occurs only at the interface between the liquid and the atmosphere, the depth of the liquid body does not influence the rate at which molecules leave the surface.

ЁЯФв Key Formulas

E=C(esтИТea)E = C(e_s - e_a)E=C(esтАЛтИТeaтАЛ) тАФ Simplified Dalton's equation for evaporation

es=6.11тЛЕ107.5T237.3+Te_s = 6.11 \cdot 10^{\frac{7.5T}{237.3+T}}esтАЛ=6.11тЛЕ10237.3+T7.5TтАЛ тАФ Magnus formula for saturation vapor pressure at temperature TTT

тЪЩя╕П Working Principle

The rate of evaporation depends on the vapor pressure gradient between the liquid surface and the atmosphere, the ambient temperature, wind velocity, and the exposed surface area. Molecules in the bulk of the liquid do not participate in evaporation until they migrate to the surface layer, making the depth irrelevant to the flux density at the interface.

ЁЯУМ Key Points
  • тЦ╕

    Evaporation is strictly a surface-dependent process.

  • тЦ╕

    Higher temperature increases the kinetic energy of molecules, leading to higher evaporation rates.

  • тЦ╕

    Higher humidity reduces the saturation deficit (esтИТea)(e_s - e_a)(esтАЛтИТeaтАЛ), thereby decreasing evaporation.

  • тЦ╕

    Wind movement removes vapor-laden air, maintaining a steep pressure gradient.

тЬЕ Advantages
  • тЦ╕

    Facilitates the global water cycle (hydrologic cycle).

  • тЦ╕

    Provides cooling effect for water bodies and organisms.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Causes significant water loss in reservoirs and irrigation canals.

  • тЦ╕

    Reduces water availability for hydro-power and domestic use.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Hydrological modeling and water budgeting.

  • тЦ╕

    Design of reservoirs and estimation of irrigation requirements.

  • тЦ╕

    Industrial cooling tower efficiency analysis.

ЁЯУД Additional Information
  • тЦ╕

    The rate of evaporation is directly proportional to the surface area exposed to the atmosphere.

  • тЦ╕

    Depth is irrelevant because the molecular escape only occurs at the air-water interface.

  • тЦ╕

    Option A: Temperature increases energy. Option B: Humidity affects the concentration gradient. Option D: Surface area increases the number of available escape sites.

ЁЯУК Diagram / Illustration
Dalton's Law of Evaporation
EL=KтЛЕf(u)тЛЕ(esтИТea)E_L = K \cdot f(u) \cdot (e_s - e_a)ELтАЛ=KтЛЕf(u)тЛЕ(esтАЛтИТeaтАЛ)
ELE_LELтАЛ: Evaporation rate
ese_sesтАЛ: Saturated vapor pressure
eae_aeaтАЛ: Actual vapor pressure
f(u)f(u)f(u): Wind function
тЬЕ

C is correct тАФ Evaporation is a surface phenomenon occurring only at the liquid-gas interface, making it independent of the total depth of the liquid.

Core Concepts Used
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Surface phenomenon Vapor pressure deficit Molecular kinetic energy
ЁЯТб EXAM TIP

In competitive exams, remember that any parameter related to 'volume' or 'depth' is usually a distractor for surface-related phenomena like evaporation or surface tension.

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