Question

In: Mechanical Engineering

How many tons of refrigeration is required to cool 50 GPM of liquid from 110 F...

How many tons of refrigeration is required to cool 50 GPM of liquid from 110 F to 50 F ?

The liquid has a specific heat of 1.40 BTU/lb F and density of 9.2 lb/gal.

Note:

1 Ton refrigeration = 12,000 BTU/hr

Solutions

Expert Solution

Solution

The cooling capacity of the refrigeration expressed in Ton of Refrigeration is to be found out.

Given

Volume flow rate of liquid,

Initial temperature of liquid = 110 o F

Final temperature of liquid = 50 o F

Density of liquid,

Specific heat of liquid,

Analysis

The cooling capacity of a refrigeration system ie., the rate of heat removed is given by the equation

where, is the mass flow rate of liquid

C is the Specific heat of the liquid

is the temperature change of the liquid

Writing eqn (i) in terms of Volume, we get

since Mass = Density * Volume

Now,

Multipying the above value by 60, we get

To convert the above value in terms of Ton of refrigeration, divide the above value by 12000

(Answer)


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