Question

A water heater has an efficiency of 61%. If the water heater takes in 7660 kJ of heat to heat up water for a dishwasher, how much total work does it provide? Show your work.

Answer 1

To find the total work provided by the water heater, calculate the amount of heat it provides and use the efficiency to determine the work done.

Step-by-step explanation:

To find the total work provided by the water heater, we can first calculate the amount of heat it provides and then use the efficiency to determine the work done.

1. Given: Efficiency = 61%, Heat input = 7660 kJ
2. Step 1: Convert the efficiency to a decimal by dividing it by 100: 61% = 0.61
3. Step 2: Calculate the amount of heat provided by dividing the heat input by the efficiency: 7660 kJ / 0.61 = 12590.16 kJ
4. Step 3: Convert the heat into work by multiplying it by the conversion factor of 1 kJ = 1 kJ = 1 J:

Work = 12590.16 kJ * 1 kJ = 12590.16 J

Therefore, the total work provided by the water heater is 12590.16 J.

Answer 2

Total work = 7660 kJ x 61% = 4669.6 kJ