Late on an autumn day, the relative humidity is 45.0% and...

Name: Problem 61, Chapter 13: College Physics for AP® Courses
Uploaded: 2019-12-21T00:04:39-08:00
Duration: 1 min 45 s
Channel: Sri Datta Vikas Buchemmavari
Description: Late on an autumn day, the relative humidity is 45.0% and the temperature is 20.0ºC . What will the relative humidity be that evening when the temperature has dropped to 10.0ºC , assuming constant water vapor density?

Late on an autumn day, the relative humidity is 45.0% and the temperature is 20.0ºC . What will the relative humidity be that evening when the temperature has dropped to 10.0ºC , assuming constant water vapor density?

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Key Concepts

Relative Humidity

Relative humidity is a measure of the amount of water vapor in the air relative to the maximum amount the air can hold at a specific temperature. It is expressed as a percentage and indicates how close the air is to being saturated with moisture, which affects weather patterns and comfort levels.

Saturation Vapor Pressure

Saturation vapor pressure is the maximum pressure exerted by water vapor in the air at a given temperature when the air is in equilibrium with liquid water. It increases with temperature, allowing warm air to hold more moisture, and decreases with temperature, meaning cooler air can hold less moisture before reaching saturation.

Temperature Dependence of Moisture Capacity

The moisture capacity of air, reflected in the saturation vapor pressure, depends exponentially on temperature. A decrease in temperature leads to a lower saturation vapor pressure, so even with a constant water vapor density, the relative humidity increases as the air's capacity to hold moisture diminishes.

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