An office heater puts out 2070 Btus (British thermal units) of energy in the form of heat per hour. Given that 1 Btu = 1.055 kJ, how many megajoules of energy in the form of heat can be produced per year (365 days) by the heater (assume continuous operation)?
2070 BTU/hr x 24 hr/day x 365 d/yr = ?BTU
?BTU x 1.055 kJ/BTU = ? kJ.
? kJ x (1 MJ/1000 kJ) = ? MJ.
19130.526
To calculate the number of megajoules of energy produced per year by the heater, we need to follow these steps:
Step 1: Calculate the number of Btus produced per year
First, we need to determine the number of Btus produced per hour. We are given that the heater puts out 2070 Btus per hour. Therefore, the number of Btus produced per year can be calculated as follows:
Btus per year = Btus per hour * hours per day * days per year
Since we have 365 days in a year, the calculation becomes:
Btus per year = 2070 Btus/hour * 24 hours/day * 365 days/year
Step 2: Convert Btus to kilojoules
Since our conversion factor is 1 Btu = 1.055 kJ, we can convert the number of Btus to kilojoules using the following equation:
Kilojoules per year = Btus per year * 1.055 kJ/Btu
This will give us the total energy in kilojoules produced per year.
Step 3: Convert kilojoules to megajoules
Finally, we can convert the kilojoules to megajoules using the following equation:
Megajoules per year = Kilojoules per year / 1000
This will give us the total energy in megajoules produced per year.
Let's perform the calculations:
Btus per year = 2070 Btus/hour * 24 hours/day * 365 days/year
Btus per year = 18,135,600 Btus/year
Kilojoules per year = 18,135,600 Btus/year * 1.055 kJ/Btu
Kilojoules per year = 19,152,378 kJ/year
Megajoules per year = 19,152,378 kJ/year / 1000
Megajoules per year = 19,152.378 MJ/year (rounded to three decimal places)
Therefore, the office heater can produce approximately 19,152.378 megajoules of energy in the form of heat per year, assuming continuous operation.