Charles's Law
At constant pressure, volume of a gas is proportional to absolute temperature.
Formula
Variables
Example
Warm a balloon and it expands; cool it in liquid nitrogen and it shrinks.
How it works
Charles's Law says that if the pressure on a gas stays the same, making the gas hotter increases its volume, and making it colder decreases its volume. This happens because gas particles move faster when temperature rises, so they hit the container walls more often and with more force; if the pressure is held constant, the gas must take up more space to balance that out. The temperature must be measured in kelvin, because the relationship is proportional to absolute temperature, not Celsius.
When to use it
Use this when a gas changes temperature but the pressure stays constant, such as in balloons, syringes with movable plungers, or gas trapped under a piston. It is also useful in chemistry and physics problems involving heating or cooling gases at constant pressure.
Worked example, step by step
A gas has a volume of 2.5 L at 300 K. What volume will it have at 450 K if the pressure stays constant? Step 1: Write Charles's Law: V1 / T1 = V2 / T2 Step 2: Substitute the known values: 2.5 / 300 = V2 / 450 Step 3: Solve for V2: V2 = (2.5 × 450) / 300 Step 4: Calculate: V2 = 1125 / 300 = 3.75 L Final answer: The gas volume becomes 3.75 L.
Common mistakes to avoid
- Using Celsius instead of kelvin in the temperature values
- Applying the formula when pressure is not constant
- Mixing up initial and final values without keeping units consistent
Did You Know?
Heat a gas and it expands — the principle that lifts hot-air balloons.
Share this formula
More in Physics Laws & Theorems
View allNewton's First Law (Inertia)
BasicAn object stays at rest or in uniform motion unless acted on by a net force.
Newton's Second Law
BasicNet force equals mass times acceleration (rate of change of momentum).
Newton's Third Law
BasicFor every action there is an equal and opposite reaction.
Conservation of Momentum
IntermediateTotal momentum of an isolated system stays constant.
Conservation of Energy
BasicEnergy cannot be created or destroyed, only transformed.
Archimedes' Principle
IntermediateBuoyant force equals the weight of fluid displaced.