Air at 38°c and 97% relative humidity is to be cooled to 14°c and fed into a plant area at a rate of 510m3/min. (a) calculate the rate (kg/min) at which water condenses. (b) calculate the cooling requirement in tons 1 ton of cooling 12; 000 btu/h, assuming that the enthalpy of water vapor is that of saturated steam at the same temperature and the enthalpy of dry air is given by the expression

To develop the problem it is necessary to apply the concepts related to the ideal gas law, mass flow rate and total enthalpy.

The gas ideal law is given as,

Where,

P = Pressure

V = Volume

m = mass

R = Gas Constant

T = Temperature

Our data are given by

Note that the pressure to 38°C is 0.06626 bar

PART A) Using the ideal gas equation to calculate the mass flow,

Therfore the mass flow rate at which water condenses, then

Re-arrange to find

PART B) Enthalpy is given by definition as,

Where,

= Enthalpy of dry air

= Enthalpy of water vapor

Replacing with our values we have that

In the conversion system 1 ton is equal to 210kJ / min

The cooling requeriment in tons of cooling is 437.2.

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