Question 4 Relative humidity is a term used to describe the amount of water vapo

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Question 4 Relative humidity is a term used to describe the amount of water vapor in a mixture of air and water vapor. It is defined as the partial pressure of water vapor in the air-water mixture, given as a percentage of the saturated vapor pressure under those conditions. The relative humidity of air thus changes not only with respect to the absolute humidity (moisture content) but also temperature and pressure, upon which the saturated vapor pressure depends. Relative humidity is often used instead of absolute humidity in situations where the rate of water evaporation is important, as it takes into account the variation in saturated vapor pressure.

Part A

Air at 30 C and 95 % relative humidity is being brought into an HVAC system at the Savannah Zoo to cool a polar habitat for the Polar bear recently acquired. The air temperature will be reduced to 10 C and the relative humidity will be adjusted to 25 %.

Find the absolute humidity of the outside air.

Part B

Air at 30 C and 95 % relative humidity is being brought into an HVAC system at the Savannah Zoo to cool a polar habitat for the Polar bear recently acquired. The air temperature will be reduced to 10 C and the relative humidity will be adjusted to 25 %.

If 1375 m3 of air is brought into the habitat, what is the volume after the air mass has reached 10 oC?

Volume =____m3

Part C

Air at 30 C and 95 % relative humidity is being brought into an HVAC system at the Savannah Zoo to cool a polar habitat for the Polar bear recently acquired. The air temperature will be reduced to 10 C and the relative humidity will be adjusted to 25 %.

If 1375 m3 of air is brought into the habitat, what is the mass of water removed from the air as it cools from 30 0C to 10 oC?

Mass of water condensed =_____grams

Part D

Air at 30 C and 95 % relative humidity is being brought into an HVAC system at the Savannah Zoo to cool a polar habitat for the Polar bear recently acquired. The air temperature will be reduced to 10 C and the relative humidity will be adjusted to 25 %.

How much water vapor would be in the 1375 m3at 30 oC if the air where saturated?

Mass of saturated air =_____grams

Absolute Humidity = ___grams/m3 Temp OC 5 10 12 15 18 20 25 30 Capacity grams/ m3 1.54 3.6 7.20 8.64 10.81 12.96 14.4 18 21.6

Explanation / Answer

Part A:-

Relative humidity is adjusted to 25%

From the table let us consider the temperature 25degrees. The capacity at that temperature is=18 grams/m3

The absolute humidity=capacity×25%=(18×25)/100=4.5grams/m3

Part B:-

Mass of air=1375m3

After 10 degrees the mass is calculated as,

Relative humidity is adjusted to 25%

At 10degrees the capacity is 7.20grams/m3

Now the volume=humidity × mass of air=(1375)×(25/100)=343.75m3

Part C:-

From part A the humidity value=4.5grams/m3

Reduced to 25% and at 10degrees the capacity is =7.20grams/m3

The mass of water condensed=(7.20×4.5)×(25/100)=8.1grams

Part D:-

Amount of saturated air=1373/21.6 (21.6 is the capacity at 30degrees)

=63.56grams

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