
a)
The volume flow rate of air into the cooling tower.
a)

Answer to Problem 110P
The volume flow rate of air into the cooling tower is
Explanation of Solution
Apply the dry air mass balance on the cooling tower.
Here, mass flow rate of air at inlet and outlet is
Apply the water mass balance on the cooling tower.
Here, mass flow rate of water at state 3 and 4 is
Apply the energy balance on the cooling tower.
Write the expression to obtain the volume flow rate of air into the cooling tower
Write the expression to obtain the vapor pressure at inlet conditions
Here, saturation pressure of water at
Write the expression to obtain the atmospheric pressure of an ideal gas mixture
Here, dry air partial pressure at state 1 is
Write the expression to obtain the specific volume of duct
Here, inlet temperature is
Write the expression to obtain the specific humidity
Here, total pressure at state 1 is
Write the expression to obtain the enthalpy at state 1
Here, specific heat of air is
Write the expression to obtain the vapor pressure at second inlet conditions
Here, saturation pressure of water at
Write the expression to obtain the specific humidity
Here, total pressure at state 2 is
Write the expression to obtain the enthalpy at state 2
Here, initial condition of enthalpy at saturation vapor at state 2 is
Conclusion:
Refer Table A-4, “Saturated water – Temperature table”, obtain the properties of water at a temperature of
Substitute 2.3392 kPa for
Rewrite Equation (V) and substitute 96 kPa for
Convert the unit of
Refer Table A-2, “Ideal gas specific heats of various common gases”, obtain the value of
Substitute
Substitute 1.637 kPa for
Substitute
Refer Table A-4, “Saturated water – Temperature table”, obtain the properties of water at a temperature of
Substitute 5.6291 kPa for
Substitute 5.6291 kPa for
Substitute
Refer Table A-4, “Saturated water – Temperature table”, obtain the value of enthalpy at saturation liquid
Refer Table A-4, “Saturated water – Temperature table”, obtain the value of enthalpy at saturation liquid
Substitute
Substitute
Thus, the volume flow rate of air into the cooling tower is
b)
The mass flow rate of required makeup water.
b)

Answer to Problem 110P
The mass flow rate of required makeup water is
Explanation of Solution
Write the expression to obtain the mass flow rate of required makeup water
Conclusion:
Substitute
Thus, the mass flow rate of required makeup water is
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Chapter 14 Solutions
Thermodynamics: An Engineering Approach
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