Question

Linseed oil has a density of \(0.929 \mathrm{~g} / \mathrm{mL}\). How many \(\mathrm{mL}\) are in \(15 \mathrm{~g}\) of the oil?

Short answer

There are approximately 16.14 mL in 15 g of linseed oil.

Step-by-step solution

- Identify the Given Data

The problem provides two pieces of information: the density of linseed oil and the mass of the oil. Specifically, the density is given as 0.929 g/mL, and the mass is given as 15 g.

- Understand the Density Formula

The density formula is given by \(\text{Density} = \frac{\text{Mass}}{\text{Volume}}\). Rearrange this formula to solve for volume: \(\text{Volume} = \frac{\text{Mass}}{\text{Density}}\).

- Substitute the Values into the Formula

Substitute the known values (mass = 15 g and density = 0.929 g/mL) into the rearranged formula: \(\text{Volume} = \frac{15 \text{ g}}{0.929 \text{ g/mL}}\).

- Calculate the Volume

Perform the division to find the volume: \(\text{Volume} = \frac{15}{0.929} \text{ mL} \approx 16.14 \text{ mL}\).

Key concepts

Density Formula

Density is a fundamental concept in physics and chemistry. It defines how much mass is packed into a given volume of a substance. The formula to calculate density is given by:
\(\text{Density} = \frac{\text{Mass}}{\text{Volume}} \).
Here, density is usually measured in units of grams per milliliter (g/mL) or kilograms per cubic meter (kg/m3).
For example, if you know the mass of a substance and the space it occupies (volume), you can determine its density using this formula.

Volume Calculation

Volume is the amount of space that an object or substance occupies. To calculate the volume of an object when its mass and density are known, you rearrange the density formula to solve for volume:
\(\text{Volume} = \frac{\text{Mass}}{\text{Density}} \).
This rearrangement lets you easily compute volume as long as you have both the mass and the density of the object or substance you are dealing with.
For instance, if you know that the mass of a substance is 15 grams and its density is 0.929 g/mL, you can find the volume by dividing the mass by the density, giving you approximately 16.14 milliliters of the substance.

Mass and Density Relationship

The mass and density relationship is crucial for understanding how much of a substance fits into a specific volume. Put simply, denser materials have more mass per unit volume compared to less dense materials.
If you know the density and you need to find out how much space a given mass will occupy, use the volume calculation formula: \(\text{Volume} = \frac{\text{Mass}}{\text{Density}} \).
This relationship helps in real-world applications like determining how much of a liquid (like linseed oil) you have if you know its density and mass.
For example, given a mass of 15 grams and a density of 0.929 g/mL, the volume will be \(\frac{15 \text{ g}}{0.929 \text{ g/mL}} \), resulting in around 16.14 mL.