Formula for working out heating of an area

pipeliner

As part of a work project, I have to work out how long would it take a heating power of x heat a room of y, Is there a formula for such a thing and what dimensions are needed. I have the figures for the heating power but I still need the figures for the room. Thanks for any help given

mathew

You need the volume of the room and the specific heat capacity of air.
Specific heat capacity is the heat required to raise the temp of 1kg of a substance by 1degree.
If you know the volume of the room and the density of the air, you can work out the mass of the air in the room.
Multiply that by the specific heat capacity of air and you have the heat required to raise the temp of the air in the room by 1 degree..
Using your value for heating power you can work out the time taken to raise the temperature from the starting temperature to the final temperature....

Bear in mind that is assuming no change in pressure as the room heats, that the air is pure air, and that no heat is lost to the surroundings....
Not exactly ideal...

dudara

With the dimensions of the room, you can calculate its volume. Assuming that the room is empty (i.e. all its volume is occupied by air) you can calculate the air mass by multiplying the volume by the density of the air.

Using the formula for specific heat capacity, Q = m*c*delta(T), (assuming you know the specific heat capacity of air), you can figure out the energy required to raise the temperature by 1 Kelvin (1 degree Celsius) by setting delta(T) to 1.

Relate power to energy and you're done.

Kevster

You're not in IT Carlow, are you?