A liquid that occupies a volume of 9.0 L has a mass of 7.2 kg. What is the density of the liquid in kg/L?
density = [?] kg / L
Record your answer to the hundredths place.
Answer (2)
The density of the liquid is calculated using the formula density = volume mass resulting in a value of 0.80 kg/L. This answer is rounded to the hundredths place as specified. Density is a crucial concept in understanding the physical properties of materials.
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We are given the mass and volume of a liquid and need to find its density.
Use the formula: density = volume mass .
Substitute the given values: density = 9.0 L 7.2 kg = 0.8 kg/L .
Round the answer to the hundredths place: 0.80 kg/L .
Explanation
Understanding the Problem We are given the mass and volume of a liquid and asked to find its density. Density is defined as mass per unit volume.
Stating the Formula and Given Values The formula for density is: density = volume mass We are given: Mass = 7.2 kg Volume = 9.0 L
Calculating the Density Now, we substitute the given values into the formula: density = 9.0 L 7.2 kg Performing the division, we get: density = 0.8 kg/L Since we need to record the answer to the hundredths place, we can write 0.8 as 0.80.
Final Answer Therefore, the density of the liquid is 0.80 kg/L.
Examples
Understanding density is crucial in many real-world applications. For instance, when designing ships, engineers need to calculate the density of the materials used to ensure the ship floats. Similarly, in cooking, knowing the density of ingredients helps in layering liquids correctly in cocktails or understanding how different oils and vinegars will separate in a salad dressing. Density also plays a vital role in weather forecasting, as differences in air density can lead to the formation of winds and storms. In geology, density helps in identifying different types of rocks and minerals.
