Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
13
Temperature and Kinetic Theory
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13-1: Atomic Theory
13-2: Temperature and Thermometers
13-4: Thermal Expansion
13-5: Gas Laws; Absolute Temperature
13-6 and 13-7: Ideal Gas Law
13-8: Ideal Gas Law in Terms of Molecules; Avogadro's Number
13-9: Molecular Interpretation of Temperature
13-11: Real Gases; Phase Changes
13-12: Vapor Pressure and Humidity
13-13: Diffusion

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 59
Q

What is the partial pressure of water vapor at 30C30 ^\circ \textrm{C} if the humidity is 75%?

A
3.2×103 Pa3.2 \times 10^3 \textrm{ Pa}
Giancoli 7th Edition, Chapter 13, Problem 59 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. Relative humidity is the ratio of partial pressure to saturated vapor pressure. So, saturated vapor pressure is the maximum, you know, amount of water that can fit into the air at that specific temperature. And we'll multiply both sides by the saturated vapor pressure and divide by 100. And we get the partial pressure as humidity multiplied by saturate vapor pressure. So, that's 0.7575 over 100 times 4.24 times 10 to the 3 pascals. When you look in the table 13-3 on page 379, you can see what the saturated vapor pressure is for water at 30 degrees Celsius and it's 4.24 times 10 to the 3 pascals. So, 75% of that is 3.2 times 10 to the 3 pascals and this is the partial pressure of water at 30 degrees Celsius with 75% humidity.

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