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Water Evaporator and Condenser Equations

Air conditioner heat loads, and evaporator and condenser water flow rates

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Total heat load:

h = cp ρ q dt

    = 500 q dt                                          (1)


h = heat load (Btu/h)

cp = 1 (Btu/lbm oF) for water

ρ = 8.33 (lbm/gal) for water

q = water volume flow rate (gal/min)

dt = temperature difference (oF)

Evaporator water flow rate can be expressed as

qevap = 24 hevap / dt                                         (2)


qevap = evaporator water flow rate (gallons per minute - gpm)

hevap = air condition load (1 refrigeration ton = 1 TONScond = 12,000 Btu/h = 200 Btu/min = 3,025.9 k Calories/h = 12,661 kJ/h  = 3517 kJ/s = 3517 kW = 4713 HP )

Condenser water flow rate can be expressed as

qcond = 30 hcond / dt                                         (3)


qcond = condenser water flow rate (gallons per minute - gpm)

hcond = air condition load, chiller tonnage (1 cooling tower ton = 1 TONSevap = 1 TONScond x 1.25 = 15,000 Btu/h = 3,782 k Calories/h = 15,826 kJ/h)

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