7,803,495 BTU's
Assuming it's water that's being heated and the temperature is Fahrenheit: 500*250*62.42796 (<the weight of one cubic foot of water)= 7,803,495 BTU's
It depends on the volume of the room.
There are no BTUs in an office water-cooler. But you can calculate how many BTUs are removed by the cooler. One BTU or British Thermal Unit is the amount of heat energy required to raise the temperature of one pound of water one degree Fahrenheit. There for when you remove one BTU you are lowering one pound of water one degree Fahrenheit. So if you know how many pounds of water you have and the temperature of the water you start with and the temperature of the water comming out of the cooler you can calculate how many BTUs the cooling unit of the water cooler has removed. BTU=Temp1 - Temp 2 X LB water
It takes 8.34 BTU to heat 1 gallon of water 1 degree F. Take 8.34 BTU times number of gallons to determine energy needed to raise pool 1 degree F. Then multiply by how many degrees you need to raise the temperate of the current pool temperature to the desired temperature. Example: 8.34 * 30,000 gal = 250,200 BTU need to raise temperature 1 degree F Next multiple by the number of degrees to warm, say the pool is 55 F. 80F - 55F = 25F. 250,200 BTU * 25 F = 6.255 million BTUs to heat the pool to 80 F. This does not take into account the loss of energy to the surroundings but gives you a starting point to determine the energy needed to heat a mass of water.
It will vary on the room type and construction. However you can assume you want 10-15 watts of energy per square ft. That would mean you want 2500-3750 watts total, which would be 8,500 - 12,750 BTU's (3.4 BTUs/Watt).References:How_many_square_feet_does_a_5000_BTU_heater_heathttp://www.diychatroom.com/f18/btus-watts-35066/
13000
6,520 Btus
One BTU is the energy required to raise one pound of water by one degrees. Therefore, your answer would be one half.
That will completely depend on how much water there is.
25
2250
It depends on the volume of the room.
From high school science class; it takes 144 BTUs to melt a pound of ice. That takes it to 32 degrees F. To then raise the temp to 72 deg., would take about 40 more BTUs.
The question cannot be answered because:the temperature scale being used has not been specified,There is no normal temperature scale in which you can have ice at 32 degrees and steam at 82 degrees without large changes in pressure. If changes in pressure are permitted then there is no simple formula to calculate the amount of heat (btus) required.
If you're in Celsius, 13459.5 Btu's. If you're in Fahrenheit, 12632.5 Btu's.
One measure does not directly translate to another. A BTU is the amount of heat that it takes to raise the temp of one pound of water by one degree F. A burning match, and a burning fireplace may both be at 650 degrees, but the fireplace gives off more heat (more BTUs)
1 btu raises 1 lb water 1 degree F from 62 to 63 degrees. generally 1 btu/lb/degree F x 20 degrees F difference x 15 lbs = 300 btus specifically the heat of the liquid at 100F is 67.97 btus and at 120F = 87.92 btu 87.92 - 67.97 = 19.95 btu 19.95 x 15 lbs. = 299.25 btus to be more accurate
BTU's or British Thermal Units are used to decide the amount of air that can be altered in a set time limit. The larger the air mass you need to change temperature of in a set time determines the BTU rating of the apliance you need. The more cubic area you have the greater BTU rating will be. Actually 1 BTU is equal to the energy required to raise 1 pound of water from 60 degrees to 61 degrees in one hour