The change in temperature of moist air

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SUMMARY

The change in temperature of 1 kg of moist air when 1 g condenses can be calculated using the heat of vaporization and specific heat values. The heat of vaporization is 2.5 x 10^6 J/kg, and the specific heat at constant pressure is 1004 J/K.kg. The condensation process will increase the temperature of the moist air due to the release of latent heat. To find the temperature change, divide the heat of vaporization by the specific heat, ensuring to account for the mass of the air in the calculation.

PREREQUISITES
  • Understanding of heat transfer principles
  • Knowledge of specific heat and heat of vaporization
  • Familiarity with thermodynamic concepts such as equilibrium and quality
  • Basic proficiency in using p-v diagrams
NEXT STEPS
  • Calculate temperature change using the formula: ΔT = Q/m*c
  • Explore the concept of "quality" in moist air and its implications on the p-v diagram
  • Study the relationship between condensation and temperature changes in thermodynamics
  • Review examples of heat transfer in phase changes for better understanding
USEFUL FOR

Students studying thermodynamics, engineers working with HVAC systems, and anyone involved in atmospheric science or heat transfer analysis.

ssonia
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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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How much too large?
 
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".
 
Did you remember to include the mass of the air (1kg) in the calculation?
 

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