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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 42a

A watt is a measure of power (the rate of energy change) equal to 1 J/s. (a) Calculate the number of joules in a kilowatt-hour.

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Understand the units involved: A watt (W) is defined as 1 joule per second (1 J/s). A kilowatt (kW) is 1000 watts, and an hour (h) is 3600 seconds.
To find the number of joules in a kilowatt-hour, start by expressing 1 kilowatt-hour in terms of basic units: 1 kW·h = 1000 W × 3600 s.
Substitute the definition of a watt into the expression: 1 kW·h = 1000 J/s × 3600 s.
Simplify the expression by multiplying the numbers: 1 kW·h = 1000 × 3600 J.
The result of this multiplication will give you the total number of joules in one kilowatt-hour.

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Power and Energy

Power is defined as the rate at which energy is transferred or converted. It is measured in watts (W), where 1 watt equals 1 joule per second (J/s). Understanding the relationship between power and energy is crucial for solving problems involving energy consumption and conversion.
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Power and Root Functions Example

Kilowatt-Hour

A kilowatt-hour (kWh) is a unit of energy equivalent to the energy consumed by a power of one kilowatt running for one hour. It is commonly used in electricity billing and represents a practical measure of energy usage over time, allowing for the conversion between power and energy.
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Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this context, converting kilowatts to joules involves understanding the relationship between time and power, specifically that 1 kWh equals 1,000 watts used for 3,600 seconds, leading to the calculation of joules.
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