Engineering High School

a space is to be maintained at 75 F and 50% relative humidity. Heat losses from the space are 225000 btu/hr sensible and 56250 btu/hr latent. The latent heat transfer is due to the infiltration of cold, dry air. The outdoor air required is 1000 cfm and at 35 F and 80% relative humidity. Determine the quantity of air supplied at 120 F, the state of the supply air, the size of the furnace or heating coil, and the humidifier characteristics.

Answers

Answer 1

To maintain the desired conditions in the space, the quantity of air supplied at 120 F should be determined, along with the state of the supply air, the size of the furnace or heating coil, and the humidifier characteristics.

What is the quantity of air supplied at 120 F? What is the state of the supply air? What is the size of the furnace or heating coil? What are the humidifier characteristics?

To determine the quantity of air supplied, we need to calculate the sensible heat gain from the infiltration of cold, dry air.

The sensible heat loss from the space is given as 225,000 Btu/hr, which is the sum of sensible heat loss due to infiltration and the sensible heat loss from the space itself. The sensible heat loss due to infiltration can be calculated using the following equation:

Sensible heat loss due to infiltration = (Infiltration air quantity) x (Infiltration temperature difference) x (Specific heat of air)

Given:

Infiltration air quantity = 1000 cfm

Infiltration temperature difference = (120 - 35) F = 85 F

Specific heat of air = 0.24 Btu/(lb·F)

Substituting the values into the equation, we get:

Sensible heat loss due to infiltration = (1000 cfm) x (85 F) x (0.24 Btu/(lb·F))

The state of the supply air can be determined by considering the properties of the outdoor air and the heat gains in the space.

The outdoor air properties are given as:

Temperature = 35 F

Relative humidity = 80%

The heat gains in the space are given as:

Sensible heat loss = 225,000 Btu/hr

Latent heat loss = 56,250 Btu/hr

Using the psychrometric chart and considering the sensible and latent heat losses, we can determine the state of the supply air in terms of temperature and relative humidity.

To determine the size of the furnace or heating coil, we need to calculate the total heat loss from the space.

The total heat loss from the space is the sum of the sensible and latent heat losses. Given:

Sensible heat loss = 225,000 Btu/hr

Latent heat loss = 56,250 Btu/hr

The total heat loss from the space can be calculated as:

Total heat loss = Sensible heat loss + Latent heat loss

To determine the humidifier characteristics, we need to consider the latent heat loss and the desired relative humidity in the space.

The latent heat loss is given as 56,250 Btu/hr. By knowing the latent heat transfer due to the infiltration of cold, dry air and the desired relative humidity of 50%, we can determine the characteristics of the humidifier required to maintain the desired humidity level.

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