Perform the following conversions: (c) $1.89/gal to dollars per liter

Verified step by step guidance

1. Identify the conversion factors needed: 1 gallon = 3.78541 liters.
2. Set up the conversion by writing the given value, $1.89/gal, and multiply it by the conversion factor to cancel out gallons.
3. The setup will look like this: $1.89/gal * (1 gal / 3.78541 L).
4. Perform the multiplication to convert the units from dollars per gallon to dollars per liter.
5. Ensure the units are correct and the final expression is in dollars per liter.

Key Concepts

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. This involves using conversion factors, which are ratios that express how many of one unit are equivalent to another. For example, to convert gallons to liters, one must know that 1 gallon is approximately 3.78541 liters.

Volume Measurement

Volume measurement is a fundamental concept in chemistry that quantifies the three-dimensional space occupied by a substance. Common units of volume include liters, milliliters, and gallons. Understanding the relationship between these units is essential for accurate calculations in chemical reactions and solutions.

Currency Conversion

Currency conversion involves changing the value of one currency into another, which is crucial when dealing with prices in different units. In this context, converting dollars per gallon to dollars per liter requires understanding the price per unit volume and applying the appropriate conversion factor to maintain the same monetary value.