Question

A laptop computer consumes about 20 watts of electricity per hour when operating. At 10 cents per kilowatt-hour, how much does a laptop cost to operate for 5 hours?

Answer 1

Step 1:

Convert the electricity per hour in kilowatts,

Electricity per hour = 20 watts

=20/1000 kilo,watts

Step 2:

The electricity consumes in 5 hour is ,

Electricity in 5 hour = 5x 20/1000 kilo watts.

Obtain the cost as,

=5x20/1000x10

=1 Cent

Answer: =1 Cent

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Answer 2

The cost of the energy consumed by the laptop for the 5 hours period is 5 cents.

Given:

rate of energy consumption of the laptop, R = 20 Watts per hour

time of operation of the laptop, t = 5 hours

cost of energy consumption, c = 10 cent per kWh

To find:

• the cost of the energy consumed by the laptop for the 5 hours period

The energy consumed by the laptop in kWh is calculated as;

$Energy = Power \times time \\\\Energy = (\frac{20 \ W}{hr} \times 5 \ hr) \times 5\ hr\\\\Energy = (100 \ W) \times ( 5 \ hr)\\\\Energy = (0.1 \ kW) \times (5 \ hr)\\\\Energy = 0.5 \ kWh$

The cost of consuming 0.5 kWh is calculated as;

$Cost = energy \ rate \ \times \ energy \ consumed \\\\Cost= \frac{10 \ cent}{kWh} \times 0.5 \ kWh\\\\Cost = 5 \ cents$

Thus, the cost of the energy consumed by the laptop for the 5 hours period is 5 cents.

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