Suppose you use an average of 500 kW -h of electric energy per month in your home. (a) How long

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Suppose you use an average of 500 kW -h of electric energy...

Suppose you use an average of 500 $\mathrm{kW}$ -h of electric energy per month in your home. (a) How long would 1.00 $\mathrm{g}$ of mass converted to electric energy with an efficiency of 38.0$\%$ last you? (b) How many homes could be supplied at the 500 $\mathrm{kW}$ h per month rate for one year by the energy from the described mass conversion?

Suppose you use an average of 500 $\mathrm{kW}$ -h of electric energy per month in your home. (a) How long would 1.00 $\mathrm{g}$ of mass converted to electric energy with an efficiency of 38.0$\%$
last you? (b) How many homes could be supplied at the 500 $\mathrm{kW}$ h per month rate for one year by the energy from the described mass conversion?

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Key Concepts

Mass-Energy Equivalence

This principle, expressed by Einstein's equation E = mc², establishes that mass can be converted into energy. It is fundamental in understanding how even a small amount of mass can yield a tremendous amount of energy, which is crucial when considering scenarios of mass conversion into electrical energy.

Energy Conversion Efficiency

Efficiency in energy conversion indicates the proportion of total energy that is actually converted into usable form. In practical applications, not all the theoretical energy calculated from mass-energy equivalence is harnessed, so applying an efficiency factor is necessary to determine the effective energy output.

Unit Conversion (Energy Units)

Performing unit conversions, such as converting Joules to kilowatt-hours, is essential in ensuring that energy values are expressed in common and practical terms. This is important for accurately comparing calculated energy outputs with real-world energy consumption metrics.

Electric Energy Consumption Rates

Understanding electric energy consumption rates, typically measured in kilowatt-hours, is vital for connecting theoretical energy calculations to practical applications. This concept helps in evaluating how long a given amount of energy would last or how many households could be serviced by a specific energy supply over a period.

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