n a certain city, electricity costs $0.18 per kW·h. What is the annual cost for electricity to power a lamp-post for 6.50 hours per day with (a) a 100.-watt incandescent light bulb (b) an energy efficient 25-watt fluorescent bulb that produces the same amount of light? Assume 1 year = 365 days.

Respuesta :

a)

Consumption of power in one day = [tex]100 W \times 6.5 h = 650 Wh[/tex]

Consumption of power in one year = [tex]100 W \times 6.5 h\times 365 = 237250 Wh[/tex]

Since, [tex]1 Wh = 0.001 kWh[/tex]. So,

[tex]237250 Wh = 237.25 kWh[/tex]

Given that [tex]1 kWh[/tex] = [tex]$0.18[/tex]

So, for [tex]237.25 kWh[/tex]:

[tex]237.25 kWh\times[/tex] $ [tex]0.18/ kWh[/tex] = $[tex]42.705[/tex]

Hence, the annual cost is $[tex]42.705[/tex].

b)

Consumption of power in one day = [tex]25 W \times 6.5 h = 162.5 Wh[/tex]

Consumption of power in one year = [tex]25 W \times 6.5 h\times 365 = 59312.5 Wh[/tex]

Since, [tex]1 Wh = 0.001 kWh[/tex]. So,

[tex]59312.5 Wh = 59.3125 kWh[/tex]

Given that [tex]1 kWh[/tex] = [tex]$0.18[/tex]

So, for [tex]59.3125 kWh[/tex]:

[tex]59.3125 kWh\times[/tex] $ [tex]0.18/ kWh[/tex] = $[tex]10.676[/tex]

Hence, the annual cost is $[tex]10.676[/tex].

A) 100 watt = 0.1 kW  

Annual cost can be calculated as:  

Annual cost=0.1 kW ×6.50 h×365×0.13

=30.8 $

So, now the annual cost will be 30.8 $

B) 25 watt = 0.025 kW  

Annual cost can be calculated as:  

Annual cost=0.025 kW ×6.50 h×365×0.13

=7.71 $

So, now the annual cost will be 7.71 $