# Refer to Figure 5.6 to determine the following. a. What is the water vapor capacity of air at 0°C? 20°C? 30°C? b. If a parcel of air at 30°C has an absolute humidity (actual water vapor content) of 20.5 grams per cubic meter, what is the parcel’s relative humidity? c. Low relative humidity indoors during the winter is a concern in cold climates. The problem results when cold air, which can hold little water vapor, is brought indoors and heated. Assume that the air outside is 5°C and has a relative humidity of 60%. What is the actual water vapor content of this air? If it comes indoors (through doors and windows) and is heated to 20°C, with no increase in water vapor content, what is the new relative humidity?

### Fundamentals of Physical Geography

2nd Edition
James Petersen
Publisher: CENGAGE L
ISBN: 9781133606536

### Fundamentals of Physical Geography

2nd Edition
James Petersen
Publisher: CENGAGE L
ISBN: 9781133606536

#### Solutions

Chapter
Section
Chapter 5, Problem 1PA
Textbook Problem

## Refer to Figure 5.6 to determine the following. a. What is the water vapor capacity of air at 0°C? 20°C? 30°C? b. If a parcel of air at 30°C has an absolute humidity (actual water vapor content) of 20.5 grams per cubic meter, what is the parcel’s relative humidity? c. Low relative humidity indoors during the winter is a concern in cold climates. The problem results when cold air, which can hold little water vapor, is brought indoors and heated. Assume that the air outside is 5°C and has a relative humidity of 60%. What is the actual water vapor content of this air? If it comes indoors (through doors and windows) and is heated to 20°C, with no increase in water vapor content, what is the new relative humidity?

Expert Solution

(a)

To determine

The water vapor capacity of air at 0°,20° and 30° with reference to Figure 5.6 in the textbook.

### Explanation of Solution

Air holds a certain amount of water vapor at any given temperature. When air holds all the water vapor that it can, it is said to be in its saturated condition and to have reached its moisture capacity. The water vapor capacity or moisture capacity of air is the maximum amount of water vapor that the air can store at a given temperature.

Figure 5.6 in the textbook shows a graph of the maximum amount of water vapor that can be contained in a cubic meter of air over a wide range of temperatures...

Expert Solution

(b)

To determine

The relative humidity of an air parcel if the temperature is given as 30°C and actual water vapor content is given as 20.5 grams per cubic meter.

Expert Solution

(c)

To determine

The actual water vapor content of the air with 60% of relative humidity at 5 degrees centigrade and the new relative humidity if the air is heated to 20 degrees centigrade without increase in water vapor content.

The actual water vapor content of the air with 60% of relative humidity at 5 degrees centigrade is 4.8 gram per cubic meter and the new relative humidity if the air is heated to 20 degrees centigrade without increase in water vapor content is 26.6%.

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