Question

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

How many joules of energy does this appliance consume in a year?

A. (a) 5.00 W, (b) 1.83 × 10¹0 J
B. (a) 5.00 W, (b) 1.83 × 10⁷ J
C. (a) 5.00 kW, (b) 1.83 × 10⁷ J
D. (a) 5.00 kW, (b) 1.83 × 10¹0 J

Answer 1

The average power consumption of the appliance is 5.00 kW, and it consumes 1.83 x 10^7 J of energy in a year.

Step-by-step explanation:

To find the average power consumption of an appliance, we need to divide the energy consumed by the time it takes to consume that energy. In this case, the appliance uses 5.00 kWh of energy per day. To convert this to joules, we multiply by the conversion factor: 1 kWh = 3.60 x 10^6 J. So, 5.00 kWh = 5.00 x 3.60 x 10^6 J = 1.80 x 10^8 J.

To calculate the average power consumption, we divide the energy by the time. Assuming a year has 365 days, the energy consumed in a year would be 5.00 kWh x 365 = 1825 kWh. Multiplying by the conversion factor again, we get 1825 kWh x 3.60 x 10^6 J = 6.57 x 10^9 J.

Therefore, the average power consumption of the appliance is (b) 1.83 x 10^7 J.