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Answer: Altitude at Which Clouds Form. On a spring day in
Chapter 18, Problem 90P(choose chapter or problem)
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 )
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:
Temperature (°C) |
Vapour 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 |
Questions & Answers
QUESTION:
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 )
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:
Temperature (°C) |
Vapour 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 |
ANSWER:
Solution 90P
Step 1:
We know that,
--------(1)
Here the vapour pressure at .
The relative humidity at the surface is 35 %.
.