50 m^3 of saturated vapour is cooled down from 30^∘ C to 20^∘ C. Find the mass of the water con

step 1 In this question we have given that 50 meter cube of saturated vapor is cooled down from 30 degr

50 m^3 of saturated vapour is cooled down from 30^∘ C to...

$50 \mathrm{~m}^{3}$ of saturated vapour is cooled down from $30^{\circ} \mathrm{C}$ to $20^{\circ} \mathrm{C}$. Find the mass of the water condensed. The absolute humidity of saturated water vapour is $30 \mathrm{~g} \mathrm{~m}^{-3}$ at $30^{\circ} \mathrm{C}$ and $16 \mathrm{~g} \mathrm{~m}^{-3}$ at $20^{\circ} \mathrm{C}$.

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Key Concepts

Phase Change and Condensation

Phase change, particularly condensation, is the process by which water vapor transforms into liquid water when it releases energy, typically due to cooling. This concept is fundamental in understanding how cooling can result in a loss of water vapor mass as liquid water forms.

Absolute Humidity

Absolute humidity is the measure of the mass of water vapor present in a unit volume of air, usually expressed in grams per cubic meter. It quantifies the actual amount of moisture in the air independent of temperature, providing a direct measure for calculating changes in moisture content.

Saturated Water Vapor

Saturated water vapor describes a state at which air contains the maximum amount of water vapor possible at a given temperature and pressure, meaning the vapor is in equilibrium with its liquid phase. This denotes the limit beyond which any additional water vapor will condense into liquid.

Temperature Dependence of Saturation

The saturation point of water vapor in air is highly dependent on temperature; warm air can hold more moisture than cold air. This principle illustrates why cooling air can cause condensation, as the reduced temperature lowers the maximum moisture capacity of the air.

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