Question

The cost of electricity varies widely through the United States; $\$ 0.120 / \mathrm{kWh}$ is one typical value. At this unit price, calculate the cost of (a) leaving a $40.0-\mathrm{W}$ 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, and (c) drying a load of clothes in $40.0 \mathrm{min}$ in a $5200-\mathrm{W}$ dryer.

Name: Problem 52, Chapter 27: Physics for Scientists and Engineers
Uploaded: 2020-08-06T09:39:30-08:00
Duration: 4 min 27 s
Channel: Vidhi Bhatt
Description: The cost of electricity varies widely through the United States; 0.120 / kWh is one typical value. At this unit price, calculate the cost of (a) leaving a 40.0-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, and (c) drying a load of clothes in 40.0 min in a 5200-W dryer.

   The cost of electricity varies widely through the United States; $\$ 0.120 / \mathrm{kWh}$ is one typical value. At this unit price, calculate the cost of (a) leaving a $40.0-\mathrm{W}$ 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, and (c) drying a load of clothes in $40.0 \mathrm{min}$ in a $5200-\mathrm{W}$ dryer.

Physics for Scientists and Engineers

Raymond A. Serway,… 6th Edition

Chapter 27, Problem 52

Instant Answer

Solved by Expert Vidhi Bhatt

08/06/2020

Step 1

0 \mathrm{W}$ porch light on for two weeks, we need to find the total energy consumed by the light and then multiply it by the unit price of electricity. Show more…

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The cost of electricity varies widely through the United States; $\$ 0.120 / \mathrm{kWh}$ is one typical value. At this unit price, calculate the cost of (a) leaving a $40.0-\mathrm{W}$ 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, and (c) drying a load of clothes in $40.0 \mathrm{min}$ in a $5200-\mathrm{W}$ dryer.

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Key Concepts

Energy Consumption

This concept involves determining the amount of energy used by an electrical device, which is obtained by multiplying its power rating (measured in watts or kilowatts) by the time it operates (converted to hours for consistency). Calculating energy consumption is foundational for understanding how different appliances contribute to the overall energy usage.

Unit Conversions

Accurate calculation of energy and cost requires converting units to a common basis. For instance, converting power from watts to kilowatts (by dividing by 1000) and time from minutes or days to hours ensures that the energy calculations are consistent and correct.

Electricity Cost Calculation

This concept concerns determining the monetary cost of using electricity by multiplying the energy consumption (in kilowatt-hours) by the cost per kilowatt-hour. It links the physical usage of energy to its economic impact, enabling evaluations of operating costs for various appliances.

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