Skip to main content
Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 76

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?

Verified Solution

Video duration:
1m
This video solution was recommended by our tutors as helpful for the problem above.
Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

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.
Recommended video:
Guided course
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.
Recommended video:
Guided course
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.