Converting Liters to Kilograms: A Simple Guide

Steps to Convert Liters to Kilograms

The kilogram (in English: Kilogram) is the base unit of mass in the metric system, symbolized as (kg or Kg). It represents the mass of 1000 cm3 of water,^[1] while the liter (liter) is symbolized as (L) and is the base unit of volume in the metric system. One liter equals the volume occupied by 1 kg of pure water at 4 degrees Celsius.^[2]

Although kilograms and liters measure different quantities, conversion between them is possible. Below are the essential steps for converting between kilograms and liters:^[3]

• Determine the volume of the substance to be converted into kilograms

Volume can be easily measured, such as the amount of water in a cup, or using laboratory flasks to determine the volume in liters.

• Determine the density of the substance to be converted

Density varies depending on the liquid, with each liquid having its own unique density. You can find the densities of various liquids easily through online research. Density is defined as the mass of a substance divided by its volume in liters.

• Mathematically calculate the mass of the substance

This is done using the following mathematical formula:^[4]

Mass = Density × Volume

In symbols:

m = d × v

Where:

• m: Mass in kilograms or grams.
• v: Volume in liters or milliliters.
• d: Density, measured in kg/L or g/mL.

Examples of Converting Liters to Kilograms

Below are several examples illustrating how to convert different liter values into kilograms:

• Example 1: A milk bottle contains 500 mL of fresh milk. What is the mass of the milk in kilograms, given that the density of milk is 1.030 kg/L?

Solution:

• First, convert the given volume from milliliters to liters by dividing the milliliter value by 1000.
• Thus, the volume of milk in the bottle is 0.5 liters.
• Apply the given data to the formula: Mass (in kg) = Volume (in L) × Density of the substance
• Substitute into the formula: Mass in kg = 0.5 × 1.030 = 0.515 kg

• Example 2: What is the mass in kilograms of gasoline, if its volume is 2 m3, and its density is 750 kg/m3?

Solution:

• Apply the formula: Mass = Density × Volume
• Substitute into the formula: Mass = 750 × 2
• Therefore, the mass of gasoline with a volume of 2 cubic meters is 1500 kg.

• Example 3: A substance has a density of 0.7 g/mL. What is its mass in kilograms if its volume is 5 mL?

Solution

• Apply the formula: Mass = Density × Volume
• Substitute into the formula: Mass = 0.7 × 5
• Thus, the mass of the substance is 3.5 grams.

Conversion Table: Water Volume to Kilograms

The density of water is 1 gram per cm3 at room temperature. The density of water increases as temperature decreases, reaching its maximum value at a specific temperature, where water molecules achieve their highest possible density.^[5] Below is a table showing water volume in liters and the corresponding mass in kilograms:

Different materials are measured by determining either their volume or weight. For example, juice or carbonated drink containers typically display their volume in liters on the outer label. However, there are times when people need to know the weight in kilograms instead of the volume. This requires knowing the density of the material being converted. Once the density is known, applying the formula Mass = Density × Volume directly allows you to calculate the weight in kilograms.

References

1. ↑ "Kilogram", britannica, Retrieved 16/9/2021. Edited.
2. ↑ "litre", britannica, Retrieved 16/9/2021. Edited.
3. ↑ "How to Convert Liters to Kilograms in Calculating Mass", sciencing, Retrieved 16/9/2021. Edited.
4. ↑ "Liters to Kilograms Conversion Calculator", inchcalculator, Retrieved 16/9/2021. Edited.
5. ↑ "Density Of Water", byjus, Retrieved 16/9/2021. Edited.