Charles’s Law Calculator (V₁/T₁ = V₂/T₂)
Charles’s law calculator: volume or temperature of a gas at constant pressure, from V₁/T₁ = V₂/T₂, with automatic kelvin conversion.
V₁T₁ = V₂T₂
How to use this calculator
- Choose the quantity you want under “Solve for”.
- Type the known values and pick their units: any combination works.
- The result updates as you type. Open “Show the steps” to see the substitution.
At constant pressure the volume is proportional to the absolute temperature. Always use kelvin internally — the calculator converts °C and °F for you.
Formula
V₁T₁ = V₂T₂
| Symbol | Quantity | Units |
|---|---|---|
| V₁ | Initial volume | L, mL, µL, m³, dm³, cm³, gal, gal (UK), qt, pt, cup, fl oz, ft³, yd³, in³ |
| T₁ | Initial temperature | K, °C, °F, °R |
| T₂ | Final temperature | K, °C, °F, °R |
| V₂ | Final volume | L, mL, µL, m³, dm³, cm³, gal, gal (UK), qt, pt, cup, fl oz, ft³, yd³, in³ |
Constants used: Temperatures in kelvin (converted automatically)
Worked example
Given: V₁ = 2 L · T₁ = 20 °C · T₂ = 100 °C
V₂ = V₁ T₂T₁
Result: V₂ = 2.5458 L
Final volume for different values of Initial volume
| V₁ · Initial volume | V₂ · Final volume |
|---|---|
| 1 L | 1.2729 L |
| 1.5 L | 1.9093 L |
| 1.8 L | 2.2912 L |
| 2 L | 2.5458 L |
| 2.2 L | 2.8004 L |
| 2.5 L | 3.1822 L |
| 3 L | 3.8187 L |
| 4 L | 5.0916 L |
Other values as in the worked example.
Frequently asked questions
2 L of gas heated from 20 °C to 100 °C?
About 2.55 L.
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