On a certain day, the temperature is 25.0^∘ C and the relative humidity is 90.0 % . How many gra

step 1 Well, since the relative humidity is 90 .0%, so the vapor density is given by D is equal to 90 .

On a certain day, the temperature is 25.0^∘ C and the...

On a certain day, the temperature is $25.0^{\circ} \mathrm{C}$ and the relative humidity is $90.0 \% .$ How many grams of water must condense out of each cubic meter of air if the temperature falls to $15.0^{\circ} \mathrm{C} ?$ Such a drop in temperature can, thus, produce heavy dew or fog.

Key Concepts

Relative Humidity

Relative humidity is a measure of the current amount of water vapor in air expressed as a percentage of the maximum water vapor air can hold at a given temperature. It is crucial in determining whether the air is near saturation, which can lead to condensation if the temperature falls and the air’s capacity to hold water decreases.

Saturation Vapor Pressure

Saturation vapor pressure is the pressure exerted by water vapor in air when the air is fully saturated at a given temperature. It increases with temperature and sets the limit for how much water the air can hold before condensation begins. This concept is key to understanding how changes in temperature affect the moisture carrying capacity of the air.

Absolute Humidity

Absolute humidity refers to the actual mass of water vapor present per unit volume of air. It is an important measure because it quantifies the total amount of water vapor available in the air regardless of the temperature, which helps in calculating how much water will condense when conditions change.

Condensation

Condensation is the process by which water vapor in the air transitions into liquid form when the air becomes saturated, typically as a result of a drop in temperature. This concept explains the formation of dew, fog, or clouds, and is essential in understanding phase changes in atmospheric water.

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