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yKpoI14uk [10]
3 years ago
5

One pound of bituminous coal contains 14,000 BTUs of energy. Suppose a coal-fired power plant needs 3,500 BTUs of heat to produc

e one kilowatt-hour of electricity. This plant has a 1 Megawatt output.
How much coal is required to produce one kilowatt-hour of electricity?
Advanced Placement (AP)
1 answer:
Rainbow [258]3 years ago
5 0

Answer:

\boxed{\text{4 oz}}

Explanation:

1. Energy needed

\text{Energy} = \text{1 kWh} \times \dfrac{\text{3500 BTU}}{\text{1 kWh}} = \text{3500 BTU}

2. Mass of coal needed

\text{Mass of coal} = \text{3500 BTU} \times \dfrac{\text{1 lb coal}}{\text{14 000 BTU}} = \text{0.25 lb coal} = \textbf{4 oz coal}\\\\\text{It takes $\boxed{\textbf{4 oz of coal}}$ to produce 1 kWh of electricity}

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