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The Dew Point. The vapor pressure of water (see )

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

Solution for problem 89P 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 89P

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: Temperat Vapour ure? ?(°C) Pressure? ?(Pa) 10.0 1.23 × 103 12.0 1.40 × 103 14.0 1.60 × 103 16.0 1.81 × 103 18.0 2.06 × 103 20.0 2.34 × 103 22.0 2.65 × 103 24.0 2.99 × 103 26.0 3.36 × 103 28.0 3.78 × 103 30.0 4.25 × 103 Problem: Meteorology. The ?vapor pressure is the pressure of the vapor phase of a substance when it is in equilibrium with the solid or liquid phase of the substance. The ?relative humidity is the partial pressure of water vapor in the air divided by the vapor pressure of water at that same temperature, expressed as a percentage The air is saturated when the humidity is 100%. (a) The vapor pressure of water at 20.0°C is 2.34 × 103 Pa If the air temperature is 20.0°C and the relative humidity is 60%, what is the partial pressure of water vapor in the atmosphere (that is, the pressure due to water vapor alone)? (b) Under the conditions of part (a), what is the mass of water in 1.00 m3 of air? (The molar mass of water is 18.0 g/mol. Assume that water vapor can be treated as an ideal gas.)

Step-by-Step Solution:
Step 1 of 3

Solution 89P 0 The room temperature was 30 c. After adding water, the temperature of the can reached at 16 c. 0 0 3 The vapour pressure at 30 c is 4.25 × 10 Pa. 0 3 The vapour pressure at 16 cwas 1.81 × 10 Pa. The relative humidity is, 1.81×10 Pa 4.25×10 Pa × 100 = 42.58 %. Conclusion: The relative humidity is 42.58 %.

Step 2 of 3

Chapter 18, Problem 89P is Solved
Step 3 of 3

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

Since the solution to 89P from 18 chapter was answered, more than 305 students have viewed the full step-by-step answer. This full solution covers the following key subjects: vapor, pressure, Water, air, temperature. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “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: Temperat Vapour ure? ?(°C) Pressure? ?(Pa) 10.0 1.23 × 103 12.0 1.40 × 103 14.0 1.60 × 103 16.0 1.81 × 103 18.0 2.06 × 103 20.0 2.34 × 103 22.0 2.65 × 103 24.0 2.99 × 103 26.0 3.36 × 103 28.0 3.78 × 103 30.0 4.25 × 103 Problem: Meteorology. The ?vapor pressure is the pressure of the vapor phase of a substance when it is in equilibrium with the solid or liquid phase of the substance. The ?relative humidity is the partial pressure of water vapor in the air divided by the vapor pressure of water at that same temperature, expressed as a percentage The air is saturated when the humidity is 100%. (a) The vapor pressure of water at 20.0°C is 2.34 × 103 Pa If the air temperature is 20.0°C and the relative humidity is 60%, what is the partial pressure of water vapor in the atmosphere (that is, the pressure due to water vapor alone)? (b) Under the conditions of part (a), what is the mass of water in 1.00 m3 of air? (The molar mass of water is 18.0 g/mol. Assume that water vapor can be treated as an ideal gas.)” is broken down into a number of easy to follow steps, and 328 words. The full step-by-step solution to problem: 89P from chapter: 18 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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