Physics

Charles’s Law Calculator

Calculate a gas's new volume when temperature changes at constant pressure.


Charles’s Law Calculator

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Find a gas’s new volume when its temperature changes, at constant pressure, using Charles’s law.

How it works

Charles’s law states V₁ ÷ T₁ = V₂ ÷ T₂, with temperature in kelvin. A 2-liter gas sample at 300 K expands to about 2.33 liters when heated to 350 K.

What this does not include

This is distinct from this site’s Boyle’s law calculator, which holds temperature constant and relates pressure and volume instead. Charles’s law specifically requires temperature in kelvin, since the proportionality depends on distance from absolute zero.

How to use this calculator

  1. Enter the initial volume.
  2. Enter the initial temperature in kelvin.
  3. Enter the final temperature in kelvin.

A worked example

A gas at 2 L, 300 K, heated to 350 K at constant pressure: new volume = V1×(T2/T1) = 2×(350/300) = 2.3333 L.

5 L at 273.15 K (0°C), heated to 373.15 K (100°C): new volume = 6.8305 L.

What the variables mean

Variable Meaning
V1, T1 Initial volume and temperature (Kelvin)
T2 New temperature

Edge cases worth knowing

Temperatures must be in Kelvin, not Celsius or Fahrenheit. Charles’s Law is a proportional relationship anchored at absolute zero, so using Celsius directly would give a wrong result — this is why the second example explicitly uses 273.15K and 373.15K rather than 0°C and 100°C.

A temperature of zero Kelvin (absolute zero) makes the ratio undefined for a starting temperature, so the calculator declines to show a result for that input.

Why must temperature be in kelvin, not Celsius or Fahrenheit?

Charles’s law relies on temperature being measured from true zero (absolute zero) — using Celsius or Fahrenheit, whose zero points are arbitrary, would break the direct proportionality the law depends on.

What happens to gas volume as temperature approaches absolute zero?

In the idealized law, volume would shrink toward zero — in reality, gases condense into liquids (and eventually solids) long before reaching absolute zero, so the law only strictly applies to an ideal gas.

Does this work if the gas is being cooled instead of heated?

Yes — enter a final temperature lower than the initial one, and the calculator returns a correspondingly smaller final volume.

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Written by

R. Solano

Physics writer

R. Solano writes the physics calculators, spanning mechanics, electricity, optics and thermodynamics. Each page names the physical model it uses and the conditions under which that model holds — ideal gas, no air resistance, small-angle approximation — because a physics result without its assumptions is a number without a meaning. Formulas are given in symbols first, then in the calculator.

Reviewed by

V. Kowalski

Calculator reviewer — physics and engineering

V. Kowalski reviews the physics and engineering calculators, checking that each page states the physical model it assumes and that the stated model matches the formula actually implemented. Review covers unit consistency throughout a calculation and whether approximations are flagged where the underlying physics is more complicated than the formula suggests.

How we write and review

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