What is the density (g/mL) of a sample of olive oil if 250 mL has a mass of 0.23 kg?
0.00092 g/mL
1.1 g/mL
0.92 g/mL
57.5 g/mL
The Correct Answer and Explanation is:
To find the density of olive oil in g/mL, we use the formula: Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}
Step 1: Convert the mass to grams
The mass of the olive oil is given as 0.23 kg. Since there are 1000 grams in 1 kilogram: 0.23 kg=0.23×1000=230 g0.23 \, \text{kg} = 0.23 \times 1000 = 230 \, \text{g}
Step 2: Volume is already in milliliters (mL)
The volume is 250 mL.
Step 3: Calculate density
Density=230 g250 mL=0.92 g/mL\text{Density} = \frac{230 \, \text{g}}{250 \, \text{mL}} = 0.92 \, \text{g/mL}
✅ Correct Answer: 0.92 g/mL
Explanation:
Density is a physical property of matter that relates the mass of a substance to the volume it occupies. It is commonly used to identify materials and evaluate their purity or quality. The formula used to calculate density is: Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}
In this question, we’re asked to determine the density of olive oil. The given mass is 0.23 kg, and the volume is 250 mL. However, to compute density in g/mL, we must first ensure the units of mass and volume are compatible. Since 1 kilogram (kg) equals 1000 grams (g), we convert: 0.23 kg=230 g0.23 \, \text{kg} = 230 \, \text{g}
Now, using the formula: Density=230 g250 mL=0.92 g/mL\text{Density} = \frac{230 \, \text{g}}{250 \, \text{mL}} = 0.92 \, \text{g/mL}
This result is consistent with typical densities for olive oil, which generally range from 0.91 to 0.93 g/mL depending on temperature and composition.
Why is this useful? In industries like food processing, chemistry, and shipping, knowing the density helps in converting between volume and mass, ensuring proper packaging, and verifying product quality.
Common mistakes in density problems include forgetting to convert units (like kg to g or L to mL) or using inconsistent units, which can lead to incorrect answers.
Thus, the correct answer, based on proper conversion and calculation, is 0.92 g/mL.
