Question

(a) What is the average power consumption in watts of an appliance that uses 5.00 kW·h of energy per day?

a) 208 W
b) 210 W
c) 212 W
d) 215 W

(b) How many joules of energy does this appliance consume in a year?
a) 1.83 × 10^7 J
b) 1.85 × 10^7 J
c) 1.87 × 10^7 J
d) 1.90 × 10^7 J

Answer 1

The average power consumption of the appliance is 208.3 W, and it consumes 6.57 × 10^12 J of energy in a year.

Step-by-step explanation:

To calculate the average power consumption of an appliance, we need to divide the total energy used by the time it took to use that energy. In this case, the appliance uses 5.00 kWh of energy per day, which is equivalent to 5000 Wh.

Since there are 24 hours in a day, the average power consumption is 208.3 W (5000 Wh ÷ 24 h = 208.3 W).

To calculate the joules of energy consumed in a year, we need to multiply the daily energy consumption by the number of days in a year. The appliance uses 5.00 kWh per day, which is equivalent to 5000 Wh.

Since there are 365 days in a year, the total energy consumption is 1.825 × 10^6 Wh (5000 Wh × 365 days = 1.825 × 10^6 Wh). To convert this to joules, we multiply by the conversion factor 3.6 × 10^6 J/Wh, resulting in 6.57 × 10^12 J (1.825 × 10^6 Wh × 3.6 × 10^6 J/Wh = 6.57 × 10^12 J).