Physics Laws & Theorems
Basic

Charles's Law

At constant pressure, volume of a gas is proportional to absolute temperature.

Formula

V1T1=V2T2\frac{V_1}{T_1} = \frac{V_2}{T_2}

Variables

VVolume
TTemperature (K)

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.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026