A combination air cooler and dehumidification unit receives...

A combination air cooler and dehumidification unit receives outside ambient air at $35^{\circ} \mathrm{C}, 100 \mathrm{kPa}$ $90 \%$ relative humidity. The moist air is first cooled to a low temperature $T_{2}$ to condense the proper amount of water; assume all the liquid leaves at $T_{2}$. The moist air is then heated and leaves the unit at $20^{\circ} \mathrm{C}, 100 \mathrm{kPa},$ relative humidity $30 \%$ with volume flow rate of $0.01 \mathrm{~m}^{3} / \mathrm{s}$. Find the temperature $T_{2},$ the mass of liquid per kilogram of dry air, and the overall heat transfer rate.

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Key Concepts

Psychrometrics

Psychrometrics is the study of the thermodynamic properties of moist air, which involves understanding parameters such as dry-bulb temperature, wet-bulb temperature, relative humidity, and humidity ratio. Mastery of psychrometric principles is essential for analyzing processes like cooling, heating, and dehumidification in HVAC systems.

Condensation and Dew Point

Condensation occurs when air is cooled to or below its dew point temperature, causing water vapor to change into liquid. Recognizing when and how condensation occurs is crucial in dehumidification processes, as it determines the conditions under which moisture is removed from the air.

Mass Balance in Moist Air

Mass balance in the context of moist air involves accounting for the water content in both its vapor and liquid phases. This is important for calculating the mass of liquid water condensed per unit mass of dry air during processes that alter the moisture content.

Energy Balance in Thermal Processes

Energy balance applies to the analysis of heat transfer in systems where air is cooled and heated. It involves assessing both sensible heat, related to changes in air temperature, and latent heat, associated with phase changes like condensation, to determine overall system performance and heat transfer rates.

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