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Combined Gas Law Calculator

Choose a parameter from the list and enter the required values in the designated fields. The calculator will compute the results using the combined gas law equation.

I want to Risk:

Initial Pressure (P_i):

Pa ▾

Initial Temperature (V_i):

m³ ▾

Initial Pressure (T_i):

K ▾

Final Volume (P_f):

Pa ▾

Initial Temperature (V_f):

m³ ▾

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Combined Gas Law Calculator – Explained

The combined gas law is used to calculate changes in pressure (P), volume (V), or temperature (T) of a gas when more than one variable changes simultaneously. It merges Boyle’s Law, Charles’s Law, and Gay-Lussac’s Law into one formula.

Formula:

P₁V₁ / T₁ = P₂V₂ / T₂

Where:

P₁, P₂ = initial and final pressures
V₁, V₂ = initial and final volumes
T₁, T₂ = initial and final absolute temperatures (in Kelvin)

How the Combined Gas Law Works

If volume decreases at constant temperature, pressure increases (Boyle’s Law).
If temperature increases at constant pressure, volume increases (Charles’s Law).
If temperature increases at constant volume, pressure increases (Gay-Lussac’s Law).

Example Problem:

Suppose a gas has an initial volume of 8 liters at a pressure of 2 atm and a temperature of 300 K. The gas is compressed to 4 liters while its temperature rises to 350 K. What is the final pressure?

Solution:

Using the combined gas law formula:

P₂ = (P₁ × V₁ × T₂) / (V₂ × T₁)

Substitute the values:

P₂ = (2 × 8 × 350) / (4 × 300)

P₂ = 4.67 atm

So the final pressure of the gas is 4.67 atm.

Units to Use:

Pressure: atm, Pa, kPa, bar, mmHg
Volume: liters (L), cubic meters (m³), ft³
Temperature: Kelvin (K) — always convert °C or °F to K before using in calculations

Conclusion:

The combined gas law is widely used when multiple gas properties change simultaneously. Using this law and a calculator, you can quickly determine unknown pressures, volumes, or temperatures in experiments and practical applications.

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