A space is at a temperature of 75 F (24 C), and the relative humidity is 45 percent. Find (a) the partial pressures of the air and water vapor, (b) the vapor density, and (c) the humidity ratio of the mixture. Assume standard sea-level pressure.
(a)
The partial pressure of the air.
The partial pressure of water vapor.
Answer to Problem 3.1P
The value of partial pressure of air is
The value of partial pressure of vapor is
Explanation of Solution
Given:
The temperature of the space is
The relative humidity is
Formula used:
The expression for the partial pressure of air is given as,
Here,
The expression for the partial pressure of vapor is given as,
Here,
Calculation:
The partial pressure of vapor can be calculated as,
The partial pressure of air can be calculated as,
Conclusion:
Therefore, the value of partial pressure of air is
Therefore, the value of partial pressure of vapor is
(b)
The vapor density.
Answer to Problem 3.1P
The value of vapor density is
Explanation of Solution
Given:
The temperature of the space is
The relative humidity is
Formula used:
The expression for the vapor density is given as,
Here,
Calculation:
The vapor density can be calculated as,
Conclusion:
Therefore, the value of vapor density is
(c)
The humidity ratio of the mixture.
Answer to Problem 3.1P
The value of humidity ratio is
Explanation of Solution
Given:
The temperature of the space is
The relative humidity is
Formula used:
The expression for the humidity ratio is given as,
Calculation:
The humidity ratio can be calculated as,
Conclusion:
Therefore, the value of humidity ratio is
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