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Question

The rate of evaporation of liquid does not depend upon

This question was previously asked in
CDS I 2019 Elementary Mathematics Previous Year Paper (03-Feb-2019)
The correct answer is

its mass

Understanding Evaporation and its Rate

Evaporation is a process where a liquid changes into a gas or vapor. This happens at the surface of the liquid. The rate of evaporation refers to how quickly the liquid turns into vapor.

Several factors influence how fast evaporation occurs. Let's look at the options provided and see how they affect the rate of evaporation:

Factors Affecting the Rate of Evaporation

Here's how the different factors impact the speed of evaporation:

  • Temperature: When the temperature of a liquid increases, the particles in the liquid gain more kinetic energy. These energetic particles move faster, and more of them have enough energy to overcome the forces holding them in the liquid state and escape into the atmosphere as vapor. Therefore, a higher temperature leads to a faster rate of evaporation.
  • Surface Area Exposed to the Atmosphere: Evaporation happens at the surface of the liquid. If the surface area exposed to the atmosphere is larger, more liquid particles are at the surface and have the opportunity to escape into the air at any given time. Think about drying clothes; they dry faster when spread out (larger surface area) than when bunched up. So, a larger surface area increases the rate of evaporation.
  • Humidity: Humidity refers to the amount of water vapor already present in the air. If the air is humid, it means it already contains a lot of water vapor. This makes it harder for more water molecules to evaporate from the liquid surface and move into the air. The air is closer to being saturated with water vapor. Therefore, higher humidity decreases the rate of evaporation.
  • Mass of the Liquid: The mass of the liquid is the total amount of liquid present. Evaporation is a surface phenomenon. While a larger mass of liquid means there is more liquid available to evaporate in total, the *rate* at which evaporation occurs at any moment depends on the conditions at the surface and the surrounding environment (temperature, surface area, humidity, wind speed), not the total mass of the liquid below the surface. For instance, a small puddle and a large lake under the same temperature, humidity, and wind conditions will have different total amounts evaporating, but the rate per unit surface area might be similar, and the rate from the entire surface depends on the exposed area, not the total mass. The total mass affects *how long* evaporation can continue, but not the *rate* of evaporation at a specific time under specific conditions.

Based on this analysis, the mass of the liquid does not directly determine the rate of evaporation.

Therefore, the factor that the rate of evaporation of a liquid does not depend upon is its mass.

Factor Effect on Rate of Evaporation Explanation
Temperature Increases rate More kinetic energy means more particles escape.
Surface Area Increases rate More surface molecules exposed to atmosphere.
Humidity Decreases rate Air already contains significant water vapor.
Mass No direct effect on rate Evaporation is a surface phenomenon; rate depends on surface conditions, not total mass.

Revision Table: Key Evaporation Factors

Factor Dependency on Rate of Evaporation
Temperature Depends
Surface area exposed to the atmosphere Depends
Mass of the liquid Does not depend
Humidity Depends
Wind Speed Depends (Higher wind speed increases rate as it removes humid air)

Additional Information on Evaporation and Phase Changes

Evaporation is different from boiling. Boiling occurs at a specific temperature called the boiling point, where vaporization happens throughout the bulk of the liquid. Evaporation, however, can occur at any temperature below the boiling point and only happens at the surface.

The rate of evaporation is also related to the concept of vapor pressure. Vapor pressure is the pressure exerted by the vapor in thermodynamic equilibrium with its condensed phases (solid or liquid) at a given temperature in a closed system. In an open system, liquid evaporates until the partial pressure of the vapor in the atmosphere reaches equilibrium, or until all liquid is gone.

Other factors that can influence the rate of evaporation include wind speed (or air movement), which helps to remove the humid air layer above the liquid surface, allowing more evaporation to occur.

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