Calculate heating element size

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SUMMARY

To calculate the wattage required for a heating element to heat a volume of 0.5m³ to 100 degrees Celsius in 30 minutes, one must first determine the mass of the material using its density. For a density of 7000 kg/m³, the mass is calculated as 3500 kg. With a specific heat capacity (SHC) of 500 J/kg, the total energy required is 1.75 x 10^8 Joules. This energy, when supplied over 30 minutes, results in a power requirement of 97 kW.

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  • Understanding of specific heat capacity (SHC)
  • Knowledge of density calculations
  • Basic principles of energy and power
  • Familiarity with unit conversions (Joules to kilowatts)
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perky416
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Hi everyone

I need to heat up an area 0.5m^3 (100cm x 100cm x 50cm).

Would anybody know of any formulas I could use to calculate what wattage heating element id need to heat this area up to 100 degrees C within say 30 minutes.

Thanks
 
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If you know the mass of this block and the Specific heat capacity of the material you can calculate the amount of energy needed. If this is supplied in 30 mins you can calculate the power.
eg. If the material has a density of 7000kg/m^3 then its mass will be 0.5 x 7000 =3500kg
If its SHC is 500J/kg then 3500 x 500 x 100(temp change) Joules are needed = 1.75 x 10^8 J This energy supplied in 30 mins means a power of 1.75 x 10^8/(30x60)
=97kW
 

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