is there a formula for figuring out how large and hot a sphere needs to be to warm a room up to a certain temperature?say i have a standard room of 4x4x3 meters and want it to be 20 degrees celsius want to test it with extreme valueslike how small should the sphere be if it had a temperature of 500k?
>>16903528>500k500,000 celcius or 500 kelvin?
>>16903528This is a pretty nonsensical question, it's missing several details like what is the composition of the hypothetical sphere and the room. Other than that it's pretty simple thermal equalization calculation.
>>16903537500 keV
You would need the value for the heat capacity of the material. You also need to know what temperature you are starting at.
>>16903528>want to test it with extreme valuesTheories and mathematical equations usually come apart at extreme values because some normally negligible effects suddenly have a more significant influence.And like the other anons said, you need to define a material. Although at very high temperatures you usually deal with some sort of plasma.
>>16903528surface of sphere = 4 * pi * R^2Stefan Boltzman law: M = alpha * T^4where alfa is the stefan boltzman constant and M is watts per square meter
>>16903528Depending on the material, size and temperature you will know how much energy you can store in that sphere.Depending on the amount of energy required to maintain the temperature constant at the desired level you can have an idea of how big it should be.
