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20 April, 18:57

The cost of energy delivered to residences by electrical transmission varies from $0.070/kWh to $0.258/kWh throughout the United States; $0.110/kWh is the average value.

Required:

At this average price, calculate the cost of:

a. leaving a 40-W porch light on for two weeks while you are on vacation?

b. making a piece of dark toast in 3.00 min with a 970-W toaster

c. drying a load of clothes in 40.0 min in a 5.20 x 10^3-W dryer.

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Answers (1)
  1. 20 April, 22:20
    0
    Cost = $ 1.48

    Cost = $ 0.005

    Cost = $ 0.38

    Explanation:

    given data

    electrical transmission varies = $0.070/kWh to $0.258/kWh

    average value = $0.110/kWh

    solution

    when leaving a 40-W porch light on for two weeks while you are on vacation so cost will be

    first we get here energy consumed that is express as

    E = Pt ... 1

    here E is Energy Consumed and Power Delivered is P and t is time

    so power is here 0.04 KW and t = 2 week = 336 hour

    so

    put value in 1 we get

    E = 0.04 * 336

    E = 13.44 KWh

    so cost will be as

    Cost = E * Unit Price ... 2

    put here value and we get

    Cost = 13.44 * 0.11

    Cost = $ 1.48

    and

    when you making a piece of dark toast in 3.00 min with a 970-W toaster

    so energy consumed will be by equation 1 we get

    E = Pt

    power is = 0.97 KW and time = 3 min = 0.05 hour

    put value in equation 1 for energy consume

    E = 0.97 * 0.05 h

    E = 0.0485 KWh

    and we get cost by w/put value in equation 2 that will be

    cost = E * Unit Price

    cost = 0.0485 * 0.11

    Cost = $ 0.005

    and

    when drying a load of clothes in 40.0 min in a 5.20 x 10^3-W dryer

    from equation 1 we get energy consume

    E = Pt

    Power Delivered = 5.203 KW and time = 40 min = 0.67 hour

    E = 5.203 * 0.67

    E = 3.47 KWh

    and

    cost will by put value in equation 2

    Cost = E * Unit Price

    Cost = 3.47 * 0.11

    Cost = $ 0.38
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