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On a certain day, the temperature is 25.0ºC 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 15.0ºC ? Such a drop in temperature can, thus, produce heavy dew or fog.

14.6 $\mathrm{g}$

Physics 101 Mechanics

Chapter 13

Temperature, Kinetic Theory, and the Gas Laws

Temperature and Heat

Cornell University

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

Lectures

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you know that the percent relative humidity would be equaling the vapor density, divided by the saturation vapor density multiplied by 100. And so we can say that then the vapor density is gonna be equal to the percent relative humidity multiplied by the saturation vapor density divided by 100. And so we can then say that this would be equal to 90.0, multiplied by 23 0.0. The saturation vapor density 2023.0 grams per cubic meter divided by 100 and so the vapor density is equaling 20 0.7 grams per cubic meter. We can then say that the density of water leaving the air would be 20.7 grams per cubic meter, minus the vapor saturation density at 15 degrees Celsius. And so this would be equaling 20.7 grams per cubic meter, minus 12.8 grams per cubic meter. And we can then say that the density of H 20 condensing would be equaling 7.9 grams for every cubic meter. And so we can say that if the temperature falls from 25 degrees Celsius to 15 degrees Celsius, um, the density of H 20 The density of H 20 or water condensing out of every cubic meter would be 7.9 grams. So this would be our final answer. That is the end of the solution. Thank you for watching.

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