Volume is a property of matter that describes the amount of three-dimensional space that an object occupies. Volume is often measured in cubic units, such as cubic centimeters (cm3), cubic inches (in3), cubic meters (m3), or cubic miles (mi3). A cubic centimeter is the three-dimensional space occupied by a cube that is 1 cm × 1 cm × 1 cm.
Other common units of volume include fluid ounces (fl oz), tablespoons (tbsp), quarts (qt), gallons (gal), barrels (bbl), liters (L), and milliliters (mL). 1 milliliter (mL) = 1 cubic centimeter (cm3). So an object that has a volume of 24 mL would occupy the same amount of three-dimensional space as twenty-four cubes each measuring 1 cm × 1 cm × 1 cm.
One way to measure the volume of an object, especially an irregularly shaped object, is by displacement. First, measure the volume of water in a graduated cylinder. Then, add your object to the graduated cylinder, making sure that it is completely submerged in the water. And finally, measure the new volume in the graduated cylinder. The increase in the volume (the amount of water that the object has “displaced”) is equal to the volume of the object itself. This is an indirect measurement since you are not measuring the volume of the object directly.
You read a graduated cylinder by positioning yourself so that the surface of the liquid in the cylinder is at eye level. When doing this, you may see a curve in the surface of the liquid (the curvature depends on the type of liquid inside of the cylinder). This curve is called a meniscus. It is created by the attraction between the molecules in the liquid and the molecules that make up the wall of the graduated cylinder.
Graduated cylinders have been calibrated to take the meniscus into account. Use the bottom of the meniscus to read the volume of the liquid inside of the graduated cylinder.
Volume is a seemingly simple concept when it comes to objects on a macroscopic scale (large enough to be measured and observed by the naked eye), but things get murkier when you consider objects on a molecular scale. On a molecular scale, even a solid contains a lot of empty space. The water molecules in ice occupy more space than their physical volume requires because they are moving. If the water molecules in ice were not moving and you could pack them as close together as possible, an ice cube would occupy much less space.
Interpreting the volume of a gas is even more difficult. A gas will expand to occupy whatever volume is available. If you place a gas in a 20-liter container, its volume will be 20 liters. If you take that same gas and place it in a 200-liter container, its volume will be 200 liters. And if you compress the gas (squeeze it down) and place it in a 2-liter container, its volume will be 2 liters. The volume of a gas depends on its temperature and how much pressure is on it. Increasing the temperature of a gas increases its volume because the molecules in the gas are moving faster and will take up more space. Increasing the pressure on a gas decreases its volume because the molecules are being pressed closer together.
There are a series of gas laws that describe the relationship between the temperature, pressure, and volume of a gas. These laws have been combined into the ideal gas law: PV = nRT, where P is the pressure, V is the volume, n is Avogadro’s number, R is the gas constant (8.314472 J·K-1·mol-1), and T is the temperature in kelvins (K). An “ideal” gas is a gas in which its molecules have zero attraction to each other. Because all molecules have some attraction to each other, there are no ideal gases in the real world. But when molecules (such as water molecules) are far apart in a gas state, the force of attraction between them is close to zero and the gas will behave almost like an ideal gas (the force of attraction between molecules gets weaker as the molecules get farther apart).
We often think of the volume of solids and liquids as unchanging… that they are incompressible and do not expand or contract due to temperature. However, that is not the case. Just as the volume of a gas depends on its temperature and the pressure on it, the volume of solids and liquids also depend on their temperatures and the pressure on them. It is just that the effects are much smaller.
Using water as an example, 1 g of ice will occupy a volume of 1.091 mL at 0 °C. The same amount of ice at -180 °C will occupy a volume of only 1.071 mL, a decrease of less than 2%. At 4 °C, 1 g of liquid water will occupy a volume of 1.000 mL, but will expand to a volume of 1.043 mL at 100 °C. When 1 g of liquid water is under 40,000,000 N/m2 of pressure [≈5800 pounds per square inch (psi)], then its volume will compress to 0.9820 mL. This pressure is equivalent to being at a depth of 4 km (≈2.5 miles) under water in the ocean.
On a macroscopic scale, volume is simply a property of matter that describes the amount of three-dimensional space that an object occupies. On a molecular scale, volume is a little more complicated. It is not only the space physically occupied by a molecule, but also the space occupied by the molecule’s translational motion. Therefore, the volume of an object can and will change (if only very slightly) with changes in the temperature and pressure.