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Charles's Law Volume & Temperature Calculator

Charles's Law states that at constant pressure, the volume of an ideal gas is directly proportional to its absolute temperature.

Select which variable to calculate.

Initial volume of gas.

Initial temperature in degrees Celsius.

Final volume of gas.

Final temperature in degrees Celsius.

Calculated Result
6.02 units

Charles's Law: V2

Target: V2

6.02

Initial Temp (T₁)

293.15 K (20.0°C)

Final Temp (T₂)

353.15 K (80.0°C)

Thermal Expansion Ratio

1.20×

Calculation Breakdown

  1. Charles's Isobaric Gas LawV₁ / T₁ = V₂ / T₂ (Temperatures evaluated in Kelvin)V1T1=V2T2\frac{V_1}{T_1} = \frac{V_2}{T_2}
  2. Computed Target Value: V2V2 = 6.02 Volume UnitsV2=V1T2T1V_2 = V_1 \frac{T_2}{T_1}

Volume vs Temperature (at 1 atm, V1=5L @ 20°C)

Interactive visualization based on your current inputs

Volume (L)
0.01.63.24.86.4-50°C0°C20°C50°C100°CTemperature (°C)Volume (L)

What Is the Charles's Law Volume & Temperature Calculator?

Charles's Law was formulated by Jacques Charles in the 1780s and describes isobaric gas thermal expansion.

How Does the Charles's Law Volume & Temperature Calculator Work?

Adding thermal energy accelerates molecular speed. To maintain constant pressure against a movable boundary, the volume must expand.

Charles's Law Volume & Temperature Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\frac{V_1}{T_1} = \frac{V_2}{T_2} \implies V_2 = V_1 \frac{T_2}{T_1}

Gas volume expands proportionally with absolute temperature in Kelvin at constant pressure.

How to Use the Charles's Law Volume & Temperature Calculator

  1. Select the target variable.
  2. Enter known volumes and temperatures in Celsius.

Step-by-Step Example Calculation

Isobaric Gas Thermal Expansion

Input Values:

solveFor:V2
v1:5.0
t1:20.0
t2:80.0
Worked Steps: Heating 5.0 L of gas from 20°C (293 K) to 80°C (353 K) expands volume to 6.02 L.

Understanding Your Result

Solved Value: Required volume or temperature.

Expansion Factor: Ratio of final to initial volume.

Factors That Affect the Result

  • Absolute Kelvin temperature delta.

When Should You Use This Calculator?

  • Hot air balloon flight calculations, meteorological atmospheric sounding, and pneumatic cylinder actuators.

Assumptions & Limitations

  • Requires constant isobaric pressure.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard ideal gas formulation.

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