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Altitude at Which Clouds Form. On a spring day in the

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 90P Chapter 18

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 90P

Altitude at Which Clouds Form. On a spring day in the midwestern United States, the air temperature at the surface is 28.0°C. Puffy cumulus clouds form at an altitude where the air temperature equals the dew point (see Problem). If the air temperature decreases with altitude at a rate of 0.6 C°/100 m at approximately what height above the ground will clouds form it? the relative humidity at the surface is 35% and 80%? (?Hint?: use the table in problem ) 1: The Dew Point. The vapor pressure of water (see Problem) decreases as the temperature decreases. If the amount of water vapor in the air is kept constant as the air is cooled, a temperature is reached, called the ?dew point?, at which the partial pressure and vapor pressure coincide and the vapor is saturated. If the air is cooled further, vapor condenses to liquid until the partial pressure again equals the vapor pressure at that temperature The temperature in a room is 30.0°C. A meteorologist cools a metal can by gradually adding cold water. When the can temperature reaches 16.0°C, water droplets form on its outside surface. What is the relative humidity at the 30.0°C air in the room? The table lists the vapor pressure of water at various temperatures: Te Vapou m r pe Pressu ra tu re? ?(Pa) re (° C) 10. 1.23 × 0 103 12. 1.40 × 0 103 14. 1.60 × 0 103 16. 1.81 × 0 103 18. 2.06 × 0 103 20. 2.34 × 0 103 22. 2.65 × 0 103 24. 2.99 × 0 103 26. 3.36 × 0 103 28. 3.78 × 0 103 30. 4.25 × 0 103

Step-by-Step Solution:

Solution 90P Step 1: We know that, partial pressure at temperature T relative humidity = equilibrium vapour pressure at temperature T(1) Here the vapour pressure at 28 C = 3.78 × 10 Pa. 3 The relative humidity at the surface is 35 %. partial pressure 35 % = 3 3.78×10 35 3 3 partial pressure = 100× 3.78 × 10 = 1.323 × 10 Pa.

Step 2 of 6

Chapter 18, Problem 90P is Solved
Step 3 of 6

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

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