On an uncomfortable summer day, the air is at 87 °F and 80 % relative humidity. A laboratory air conditioner is to deliver 1.0 x 103 ft3/min of air at 55 °F in order to maintain the interior air at an average temperature of 75°F and a relative humidity of 40%. If the vent switch on the air conditioner is turned to the "open" position, outside air enters the unit as shown below. Assume A = 87 οF, B = 80 %, C = 55 οF. In the air conditioner, the air is cooled to a temperature low enough to condense the necessary amount of water and reheated to 55°F, at which point it has the same absolute humidity as the room air. Use the psychometric chart to estimate the rate (lbm/min) at which water is condensed, the temperature to which the air must be cooled to condense water at this rate, and the net tons of cooling required (Q⋅), where 1 ton of cooling = -12,000 Btu/h. [Note: The humid volume of the delivered air (at 55°F), which is difficult to read from the psychrometric chart, is 13.07 ft3/lbm dry air, and the heat capacity of liquid water is 1.0 Btu/(lbm °F).]

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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On an uncomfortable summer day, the air is at 87 °F and 80 % relative humidity. A laboratory air conditioner is to deliver 1.0 x 10ft3/min of air at 55 °F in order to maintain the interior air at an average temperature of 75°F and a relative humidity of 40%.
If the vent switch on the air conditioner is turned to the "open" position, outside air enters the unit as shown below.

Assume A = 87 οF, B = 80 %, C = 55 οF.

In the air conditioner, the air is cooled to a temperature low enough to condense the necessary amount of water and reheated to 55°F, at which point it has the same absolute humidity as the room air.

Use the psychometric chart to estimate the rate (lbm/min) at which water is condensed, the temperature to which the air must be cooled to condense water at this rate, and the net tons of cooling required (Q⋅), where 1 ton of cooling = -12,000 Btu/h.

[Note: The humid volume of the delivered air (at 55°F), which is difficult to read from the psychrometric chart, is 13.07 ft3/lbm dry air, and the heat capacity of liquid water is 1.0 Btu/(lbm °F).]

Exhuast
75°F
h, = 40%
AIR CONDITIONER
Delivered air
LAB
REHEATER
(tons)
C °F
75°F
h, = 40%
Outside air
COOLER
A °F
h, = B %
Condensed
water
Transcribed Image Text:Exhuast 75°F h, = 40% AIR CONDITIONER Delivered air LAB REHEATER (tons) C °F 75°F h, = 40% Outside air COOLER A °F h, = B % Condensed water
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