Use metric conversion factors to solve each of the following problems:b. A cooler has a volume of 5000 mL. What is the capacity ofthe cooler in liters?

Verified step by step guidance

1. Identify the conversion factor between milliliters and liters. There are 1000 milliliters in 1 liter.
2. Set up the conversion by writing the given volume in milliliters (5000 mL) and multiply it by the conversion factor to convert to liters.
3. The conversion factor can be expressed as \( \frac{1 \text{ L}}{1000 \text{ mL}} \).
4. Multiply 5000 mL by \( \frac{1 \text{ L}}{1000 \text{ mL}} \) to convert the volume from milliliters to liters.
5. Simplify the expression to find the volume in liters.

Key Concepts

Metric Units

The metric system is a decimal-based system of measurement used globally, which includes units such as meters for length, grams for mass, and liters for volume. Understanding these units is essential for converting between different measurements, such as milliliters to liters, as they are all part of the same system.

Volume Conversion

Volume conversion involves changing a measurement from one unit to another, such as converting milliliters (mL) to liters (L). Since 1 liter is equivalent to 1000 milliliters, the conversion requires dividing the volume in milliliters by 1000 to obtain the volume in liters.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors that express the relationship between different units. This method ensures that units cancel appropriately, leading to the correct final unit, which is crucial for solving problems involving metric conversions.