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A kettle was tested for its energy efficiency. Its power rating is 900 W. Over the course of 4 minutes and 30 seconds, its useful energy output was 0.05 kWh. How much energy did it use during this testing period?

Answer :

The kettle used 0.0675 kWh of energy during the testing period. However, its useful energy output was 0.05 kWh, meaning that some energy was lost, possibly due to heat loss or inefficiency in the kettle's design.

The kettle has a power rating of 900W. Power is the rate at which energy is used, and is measured in Watts (W). 1W = 1 Joule of energy used per second.

1. First, let's convert the kettle's power rating to kilowatts, because energy is often measured in kilowatt-hours (kWh). There are 1000W in a kilowatt, so the kettle's power rating is 900/1000 = 0.9 kW.

2. Next, let's convert the time that the kettle was on for into hours, because the energy used is measured in kilowatt-hours. The kettle was on for 4 minutes and 30 seconds, which is equal to 4.5/60 = 0.075 hours.

3. We can now calculate the total energy the kettle used during the testing period. The formula for energy is Power (in kW) * Time (in hours). In this case, it is 0.9 kW * 0.075 hours = 0.0675 kWh.

Therefore, the kettle used 0.0675 kWh of energy during the testing period. However, its useful energy output was 0.05 kWh, meaning that some energy was lost, possibly due to heat loss or inefficiency in the kettle's design.

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