# Water Evaporator and Condenser Equations

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

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Total heat load:

h = c_{p}ρ q dt

= 500 q dt (1)

where

h= heat load (Btu/h)

c_{p}= 1 (Btu/lb_{m}^{o}F) for water

ρ = 8.33 (lb_{m}/gal) for water

q= water volume flow rate (gal/min)

dt= temperature difference (^{o}F)

Evaporator water flow rate can be expressed as

q_{evap}= 24 h_{evap}/ dt (2)

where

q_{evap}= evaporator water flow rate (gallons per minute - gpm)

h_{evap}= air condition load ()1 refrigeration ton = 1TONS12,000 Btu/h_{cond}== 3,025.9 k Calories/h = 12,661 kJ/h= 200 Btu/min= 3517 kJ/s = 3517 kW = 4713 HP

Condenser water flow rate can be expressed as

q_{cond}= 30 h_{cond}/ dt (3)

where

q_{cond}= condenser water flow rate (gallons per minute - gpm)

h_{cond}= air condition load, chiller tonnage(1 cooling tower ton = 1TONS_{evap}= 1 TONS_{cond}x 1.25 = 15,000 Btu/h = 3,782 k Calories/h = 15,826 kJ/h)

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