Find BTU Required for Water Cooling ?

J}{g\ C}##In summary, to calculate the required BTU/hr for water to lower its temperature from 50°C to 25°C in 10-15 minutes, we need to use the specific heat equation and the heat capacity of water, which is 4.184 J/g°C. The mass of water is approximately 30,000 grams and the temperature difference is 25°C. Converting the units, we get 1 BTU/lbm°F = 4.184 J/g°C and 1 liter = 1 kg = 2.205 lbm.
  • #1
Assim
3
1

Homework Statement


[/B]
Calculate the BTU/hr required for water to lower its temperature to find the compressor capacity required

- Cool 30 Liters of water from 50 degree Celsius(T1) to 25 Degree Celsius(T2) – ( 122 to 77 Fahrenheit )
-Water in a closed vessel, Static, not flowing.
-Max Time Available to cool the water - 10 to 15 mins (not sure if time is relevant for finding the BTU, But it will be ideal to find the compressor which can do the job in the above time)

Homework Equations



Specific heat equation
Heat added = specific heat x mass x (tfinal - tinitial)

The Attempt at a Solution


[/B]
Specific heat of water = 4.184
Mass = 30 litres = 30,000 grams(approx)
Tfinal - Tinitial = 25 Degree C

bit confused with the units used so I guess I am getting wrong answer
Kindly help to fix thisThanks
 
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  • #2
Google "British thermal unit."
 
  • #3
1 liter = 1kg = 2.205 lbm

1 C = 1.8 F

Heat capacity of water = ##1 \frac{BTU}{lbm\ F}##
 

FAQ: Find BTU Required for Water Cooling ?

How do I calculate the BTU required for water cooling?

To calculate the BTU required for water cooling, you will need to know the specific heat capacity of water, the mass flow rate of water, and the temperature difference between the inlet and outlet of the cooling system. You can then use the formula:BTU = (Specific Heat Capacity of Water) x (Mass Flow Rate of Water) x (Temperature Difference)

What is the specific heat capacity of water?

The specific heat capacity of water is the amount of heat required to raise the temperature of one gram of water by one degree Celsius. It is typically measured in units of joules per gram per degree Celsius (J/g°C).

How do I determine the mass flow rate of water?

The mass flow rate of water can be determined by measuring the volume flow rate of water (in liters per minute) and multiplying it by the density of water (in grams per liter).

What is the temperature difference needed for water cooling?

The temperature difference needed for water cooling depends on the desired cooling effect and the design of the cooling system. In general, a larger temperature difference will result in a higher BTU requirement for water cooling.

Does the type of water affect the BTU required for water cooling?

Yes, the type of water can affect the BTU required for water cooling. Water with a higher mineral content or impurities may have a lower specific heat capacity, which would result in a higher BTU requirement for water cooling compared to pure water.

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