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Chapter 3: Problem 8

The kilowatt-hour is a unit of what physical quantity or quantities?

Short Answer

Expert verified
Kilowatt-hour is a unit of energy.

Step by step solution

01

- Understand the Unit

A kilowatt-hour (kWh) is a compound unit that involves both power and time. Specifically, it is a measure of energy consumption.
02

- Break Down the Components

Break down the term into its two units: kilowatt (kW) and hour (h). A kilowatt is a unit of power which is energy per unit time, and an hour is a unit of time.
03

- Conceptualize the Product of the Units

Since kilowatt measures power (which is energy per unit time) and hour measures time, their product (kWh) represents the total amount of energy consumed over a period of time.
04

- Understand the Physical Quantity

Combine the knowledge from previous steps: a kilowatt-hour, being the product of power and time, measures the quantity of energy. Therefore, a kWh is a unit of energy.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Energy Measurement
Energy is the capacity to do work. And to understand energy measurement, it's essential to know the various units used. One common unit is the kilowatt-hour (kWh). The kilowatt-hour is used to measure electrical energy, typically in household electric bills.

A kilowatt-hour is defined as the energy consumed by a power of one kilowatt operating for one hour. This makes it a compound unit that represents energy consumption, involving both power and time.
Power
Power is the rate at which energy is used or produced. It illustrates how quickly energy is consumed or generated. The standard unit of power is the Watt (W), and when we scale it up, we use kilowatts (kW), where 1 kW equals 1000 W.

For example, if you have an appliance rated at 1 kW running for 1 hour, it will consume 1 kilowatt-hour (kWh) of energy. So, power gives us an idea of how intense the energy usage is, while kilowatt-hour provides the total energy consumed over time.
Time
Time is a crucial element when measuring energy consumption. It tells us how long a certain amount of power is used. For energy measurement in terms of kWh, time is measured in hours.

Think of a light bulb with a power rating of 100 W. If it operates for 10 hours, it consumes 100 W * 10 h = 1000 Wh, which is equal to 1 kWh. Consequently, understanding time helps us calculate the total energy usage over a given duration. This simple multiplication of power and time offers a clear picture of overall energy consumption.

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