Did you know?
Did you know that the efficiency of a water heater is a measure of how effectively it converts heat energy into useful work? In this case, with an efficiency of 61%, the water heater is able to convert only 61% of the heat it takes in into useful work.
To calculate the total work provided by the water heater, we need to first determine how much heat energy is converted into work. Since the efficiency is given as a percentage, we can convert it to a decimal by dividing it by 100: 61/100 = 0.61.
Using the formula for efficiency, which is efficiency = useful work / total input energy, we can rearrange it to calculate the useful work: useful work = efficiency * total input energy.
Plugging in the given values, the total input energy is 7660 kJ, and the efficiency is 0.61, we can calculate the useful work: useful work = 0.61 * 7660 kJ = 4682.6 kJ.
Therefore, the water heater provides a total work output of 4682.6 kJ.