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A typical cost for electrical power is $0.120per kilowatt-hour. (a) Some people leave their porch light on all the time. What is the yearly cost to keep a 75-Wbulb burning day and night? (b) Suppose your refrigerator uses 400 Wof power when it鈥檚 running, and it runs 8hours a day. What is the yearly cost of operating your refrigerator?

Short Answer

Expert verified
  1. The yearly cost to keep a bulb is $78.9
  2. The yearly cost of operating refrigerator is $140.3

Step by step solution

01

Determine the cost of bulb burning day and night in a year

First, determine the total electric consumption in a year

E=PtE=75.0W1.00yr3.156107s1.00sE=2.367109J

The total energy consumption by the bulb in KW-h is

E=2.367109J1.00KW-h3.60106JE=657.5KW-h

So, the total cost in one year is

m=REm=0.120$/KW-h657.5KW-hm=$78.9

Therefore, $78.9 is the yearly cost to keep a 75-Wbulb burning day and night.

02

Determine the cost of operating the refrigerator for a year

Total energy consumed by the refrigerator in a year

E=Pt=400W0.333yr3.156107s1.00yrE=4.208109JE=4.208109J1.00KW-h3.60106JE=1169KW-h

So, the cost of operating refrigerator for a year

m=REm=0.120$/KW-h1169KW-hm=$140.3

Therefore, the yearly cost of operating the refrigerator for a year is $140.3

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