High School

A 100-watt lamp burns for an average of 10 hours a day for one week. What is the weekly energy consumption in kWh?

Answer :

Final answer:

The weekly consumption of energy for a 100-watt lamp burning 10 hours a day for one week is 7 kilowatt-hours (kWh). This calculation is achieved by firstly converting the power into kilowatts and the time into hours, then substituting these values into the formula E = Pt.

Explanation:

The energy consumed by a 100-watt lamp that burns on average of 10 hours a day for one week can be calculated using the formula E = Pt, where 'E' is the energy in kilowatt-hours (kWh), 'P' is the power in kilowatts and 't' is the time in hours. Firstly, convert the power from watts to kilowatts by dividing the power in watts by 1000: P = 100 ÷ 1000 = 0.1 kW. Next, calculate the total number of hours the lamp has burned in a week: t = 10 hours/day * 7 days/week = 70 hours. Then, you substitute 'P' and 't' into the formula E = Pt to calculate 'E': E = (0.1 kW) * (70 hours) = 7 kWh. So the weekly consumption of energy for a 100-watt lamp burning 10 hours a day for one week is 7 kilowatt-hours (kWh).

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