Question

It seems hard to justify spending $4.00 for a compact fluorescent lightbulb when an ordinary incandescent lightbulb costs 50 ¢. To see if this makes sense, compare a 60 W incandescent bulb lasting 1000 hours to a 15 W compact fluorescent bulb having a lifetime of 10,000 hours. Both bulbs produce the same amount of visible light and are interchangeable. If electricity costs $0.10/kWh, what is the cost - purchase plus energy - to obtain 10,000 hours of light from each type of bulb

Answer 1

Answer:

cost of incandescent light bulb for 10000 hour = $65

and cost of fluorescent bulb for 10000 hour = $19

Explanation:

Given data

incandescent bulb power = 60 W

incandescent light bulb cost = 50 ¢.

incandescent light bulb duration =  1000 hours

fluorescent bulb power = 15 W

fluorescent light bulb cost = $4.00

fluorescent bulb duration = 10,000 hours

electricity costs = $0.10/kWh

to find out

cost - purchase plus energy to obtain 10,000 hours of light

solution

first we find energy by fluorescent bulb and incandescent light bulb

energy  = power × duration

energy = 60 × 1000 = 60 kWh      ...........1........ incandescent light bulb

energy = 15 × 10000 = 150 kWh     ..........2........ fluorescent bulb

and electricity cost that is $0.10 per kWh

so cost of incandescent light bulb of 60 kWh = 60 × 0.10 = $6 + $0.50  = $6.50 .............3

cost of fluorescent bulb of 150 kWh = 150 × 0.10 = $15 + $4 = $19       ...............4

so here we see that

cost of incandescent light bulb for 10000 hour = $6.50 × 10 = $65

and cost of fluorescent bulb for 10000 hour = $19

Answer 2

Answer:

Total cost over 10,000 hours for fluorescent bulbs is $19 compared to $60.50 for incandescent bulbs due to the significantly lower energy required for the same amount of visible light

Explanation:

Incandescent Bulb

Cost of bulb = $0.50

Total energy required = Power x Time = 60W x 10000h = 600kWh

Cost of energy = Energy x Rate = 600kWh x 0.10$/kWh = $60.00

Total Cost = Cost of bulb + Cost of energy = 0.50 + 60.00 = $60.50

Fluorescent Bulb

Cost of bulb = $4.00

Total energy required = Power x Time = 15W x 10000h = 150kWh

Cost of energy = Energy x Rate = 150kWh x 0.10$/kWh = $15.00

Total Cost = Cost of bulb + Cost of energy = 4.00 + 15.00 = $19.00