Question

What is the average power consumption in watts of an appliance that uses 4.59 kw · h of energy per day? how many joules of energy does this appliance consume in a year?

Answer 1

The average power consumption of an appliance using 4.59 kWh of energy per day is 191.25 watts. Over the course of a year, the appliance consumes approximately 6.024 \u00d7 10^9 joules of energy.

Step-by-step explanation:

To calculate the average power consumption in watts of an appliance that uses 4.59 kWh of energy per day, we divide the total energy consumption by time (in hours) over which the energy was consumed:

Average power (P) = Energy (E) / Time (t)

Since 1 day equals 24 hours, the average power consumption would be:

P = 4.59 kWh / 24 hours = 0.19125 kW,

which is equivalent to 191.25 watts (since 1 kW = 1000 watts).

As for the joules of energy consumed in a year, we first need to calculate the yearly energy consumption in kWh and then convert it to joules using the conversion factor:

1 kWh = 3.6 \u00d7 10^6 Joules.

Yearly consumption = 4.59 kWh/day \u00d7 365 days/year,

which gives us approximately 1673.35 kWh per year. Now, to convert this to joules:

Energy (J) = 1673.35 kWh \u00d7 3.6 \u00d7 10^6 J/kWh,

so the appliance consumes roughly 6.024 \u00d7 10^9 joules of energy per year.