Chemistry / Physics Tool

Charles's Law Calculator

Solve for any variable in V1/T1 = V2/T2. Supports Kelvin, Celsius, and Fahrenheit with step-by-step solutions and unit conversions.

Solve for V1, T1, V2, or T2-3 Temperature Units-Step-by-Step

Charles's Law Calculator

V1/T1 = V2/T2 (at constant pressure)

Initial State

Final State

Gas Law Comparison

LawFormulaConstantRelationship
Charles's LawV1/T1 = V2/T2PressureV proportional to T
Boyle's LawP1V1 = P2V2TemperatureP inversely proportional to V
Gay-Lussac's LawP1/T1 = P2/T2VolumeP proportional to T
Combined Gas LawP1V1/T1 = P2V2/T2Amount (n)All three variables
Ideal Gas LawPV = nRTNoneComplete state equation

Frequently Asked Questions

What is Charles's Law?
Charles's Law states that the volume of a gas is directly proportional to its absolute temperature when pressure is held constant. Mathematically: V1/T1 = V2/T2. As temperature increases, gas volume increases proportionally.
Why must temperature be in Kelvin for Charles's Law?
The law requires absolute temperature because it describes proportional relationships. At 0 Kelvin, molecular motion stops and volume would theoretically reach zero. Using Celsius would give a zero-crossing at -273.15 C that breaks the proportional math.
What is the formula for Charles's Law?
V1/T1 = V2/T2, where V1 and V2 are initial and final volumes, T1 and T2 are initial and final temperatures in Kelvin. Rearrange to solve for any variable: V2 = V1 x T2/T1, or T2 = T1 x V2/V1.
What is an example of Charles's Law in everyday life?
A hot air balloon rises because heating the air inside increases its volume, making it less dense. A basketball left outside in winter deflates because cooler air reduces volume. Car tires lose pressure in cold weather for the same reason.
How is Charles's Law different from Boyle's Law?
Charles's Law: volume vs temperature at constant pressure. Boyle's Law: volume vs pressure at constant temperature (P1V1 = P2V2). Combined gas law merges both: P1V1/T1 = P2V2/T2.
What happens to gas volume when you double the temperature?
If you double the absolute temperature (in Kelvin), the volume doubles. Going from 300K to 600K doubles volume. But going from 30 C to 60 C does NOT double volume because 30 C = 303K and 60 C = 333K (ratio is 1.10, not 2.0).
Does Charles's Law apply to liquids?
No. Charles's Law applies specifically to ideal gases. Liquids have much smaller thermal expansion coefficients. Water expands only about 0.02% per degree C, while gases expand about 0.37% per degree C at room temperature.
Who was Jacques Charles?
Jacques Alexandre Cesar Charles was a French inventor, scientist, and balloonist who first documented the relationship between gas volume and temperature around 1787. He also made the first manned hydrogen balloon flight in 1783.

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