In the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly 1 ft. An acre is 4840 yd2. An acre-foot is enough water to supply two typical households for 1.00 yr. (a) If desalinated water costs \$1950 per acre-foot, how much does desalinated water cost per liter?

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Convert the area of an acre from square yards to square feet using the conversion factor: 1 yard = 3 feet. Therefore, 1 acre = 4840 yd^2 * (3 ft/yd)^2.

Calculate the volume of water in cubic feet for 1 acre-foot by multiplying the area in square feet by the depth of 1 foot.

Convert the volume from cubic feet to cubic inches using the conversion factor: 1 cubic foot = 12^3 cubic inches.

Convert the volume from cubic inches to liters using the conversion factor: 1 liter = 61.024 cubic inches.

Calculate the cost per liter by dividing the cost per acre-foot (\$1950) by the volume in liters.

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Volume Conversion

To solve the problem, it's essential to understand how to convert acre-feet into liters. An acre-foot is a unit of volume that represents the amount of water needed to cover one acre to a depth of one foot. Knowing the conversion factors between these units is crucial for calculating the cost per liter.

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02:38

Common Conversion Factors

Cost Calculation

The question requires calculating the cost of desalinated water per liter based on the total cost per acre-foot. This involves dividing the total cost by the total volume in liters, which allows for a clear understanding of the price per unit volume of water.

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02:28

Stoichiometric Rate Calculations

Desalination Economics

Understanding the economics of desalination is important, as it provides context for the cost of water. Desalination is a process that converts seawater into freshwater, and the cost of this process can vary significantly based on technology, energy use, and local conditions, influencing the price per acre-foot.

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Domanda del libro di testo

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