The change in temperature of moist air

In summary, the temperature of the moist air will increase due to condensation, with a heat of vaporization of 2.5*10^3 J/g and a specific heat of 1.004 J/K.g. To calculate the temperature in Kelvin, the heat of vaporization should be divided by the specific heat and the mass of the air (1kg) should be included. The change in temperature may seem too large, but this could be due to the air being in equilibrium and the concept of quality must be considered on a p-v diagram.
  • #1
ssonia
1
0

Homework Statement



1 kg of moist air and 1 g condenses.

What will the change in the temperature of the moist air be?

Heat of Vaporization = 2.5*10^6 J/kg

2. The attempt at a solution

The moist air will warm due to condensation.

Heat of Vaporization=2.5*10^3 J/g

Specific heat at constant pressure = 1004 J/K.kg = 1.004 J/K.g

My next step was to divide the heat of vaporization with the specific heat to get the temperature in Kelvin, however the value seems to large.

Any help would be grateful...Thanks.
 
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  • #2
How much too large?
 
  • #3
ssonia said:

Homework Statement


1 kg of moist air and 1 g condenses.

What will the change in the temperature of the moist air be?
Assuming equlibrium, if some of it condenses and some of it does not, where on the p-v diagram must you be? Hint: think "quality".
 
  • #4
Did you remember to include the mass of the air (1kg) in the calculation?
 

FAQ: The change in temperature of moist air

1. How does humidity affect the change in temperature of moist air?

Humidity plays a major role in the change in temperature of moist air. When the air is more humid, it contains more water vapor which can hold onto heat and cause the temperature to rise. On the other hand, drier air will typically have a lower temperature as there is less water vapor to trap heat.

2. Does the temperature of moist air change at a constant rate?

No, the change in temperature of moist air is not constant. It is dependent on various factors such as humidity, pressure, and temperature of the surrounding environment. As these factors change, the rate of temperature change in moist air will also vary.

3. How does the temperature of moist air change during the day?

The temperature of moist air can change throughout the day due to the sun's heat, wind, and atmospheric pressure. As the sun heats the air, it expands and rises, causing the temperature to increase. At night, when the sun is not present, the air cools down and contracts, resulting in a decrease in temperature.

4. Can the change in temperature of moist air affect weather patterns?

Yes, the temperature of moist air can greatly affect weather patterns. When warm and cool air masses meet, it can lead to the formation of storms and other weather phenomena. The change in temperature of moist air can also impact the amount of precipitation and humidity in an area.

5. How is the change in temperature of moist air measured?

The change in temperature of moist air can be measured using a thermometer or other meteorological instruments such as a hygrometer. These instruments can accurately measure the temperature and humidity of the air, providing data on the change in temperature of moist air over a period of time.

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