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9 September, 11:54

In a certain city, electricity costs $0.16 per kW⋅h. What is the annual cost for electricity to power a lamppost for 7.50 h per day with a 100. W incandescent light bulb versus an energy efficient 25 W fluorescent bulb that produces the same amount of light? Assume 1 year=365 days.

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  1. 9 September, 12:56
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    annual cost for electricity for 100 W is $43.8

    annual cost for electricity for 25 W is $10.95

    Explanation:

    given data

    electricity costs = $0.16 per kW⋅h

    duration lamppost = 7.50 h per day

    to find out

    What is the annual cost for electricity for 100 W and 25 W

    solution

    we know power consumption 1 day for 100 W = 100 * 7.50

    and power consumption in 1 year = 365 * 100 * 7.50 = 273750 watt hour

    and we know 1 watt hour = 0.001 Kw hour

    so that 273750 watt hour = 273.750 KWh

    and 1 kWh = $0.16

    so 273.750 KWh = 0.16 * 273.750 = $43.8

    annual cost for electricity for 100 W is $43.8

    and

    power consumption 1 day for 25 W = 25 * 7.50

    and power consumption in 1 year = 365 * 25 * 7.50 = 68437.5 watt hour

    and we know 1 watt hour = 0.001 Kw hour

    so that 68437.5 watt hour = 68.4375 kWhour

    and 1 kWh = $0.16

    so 68.4375 kWh = 0.16 * 68.4375 = $10.95

    annual cost for electricity for 25 W is $10.95
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