The density of mineral oil is 0.835 g/mL. what is the mass in grams of a sample of mineral oil that has a volume of 3.50 mL.
The Correct Answer and Explanation is :
To find the mass of a sample of mineral oil given its volume and density, we can use the formula for density:
[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
]
From this formula, we can rearrange it to solve for mass:
[
\text{Mass} = \text{Density} \times \text{Volume}
]
In this case, we know the density of mineral oil is (0.835 \, \text{g/mL}), and the volume of the mineral oil sample is (3.50 \, \text{mL}).
Step-by-Step Calculation
- Identify the Density and Volume:
- Density ((d)) = (0.835 \, \text{g/mL})
- Volume ((V)) = (3.50 \, \text{mL})
- Use the Formula to Calculate Mass:
[
\text{Mass} = d \times V
]
Substituting the values into the formula:
[
\text{Mass} = 0.835 \, \text{g/mL} \times 3.50 \, \text{mL}
] - Perform the Multiplication:
[
\text{Mass} = 2.9225 \, \text{g}
] - Rounding:
Since the precision of the measurements is up to three significant figures, we round (2.9225 \, \text{g}) to (2.92 \, \text{g}).
Final Answer
The mass of the mineral oil sample is 2.92 grams.
Explanation
Understanding the relationship between density, mass, and volume is fundamental in various scientific disciplines, especially chemistry and physics. Density is a property of materials that describes how much mass is contained in a given volume. For liquids like mineral oil, density is typically expressed in grams per milliliter (g/mL).
In practical applications, calculating mass from density and volume is crucial for tasks like formulation, quality control, and inventory management. For instance, knowing how much mineral oil is needed for a specific application helps in ensuring safety, efficiency, and cost-effectiveness. This calculation is also applicable in various industries, including pharmaceuticals, food production, and chemical manufacturing, highlighting the importance of accurate density measurements in everyday practice.