Ideal Gas Law Calculator

Use the ideal gas law formula PV = nRT to calculate the pressure, volume, number of moles, or temperature of an ideal gas.

Calculate

PressureVolumeNumber of MolesTemperature

Volume (V)

mLLgalcm²m²in²ft²

Number of Moles (n)

Temperature (T)

K°C°F

Pressure (P)

PahPaatmbarmbarTorrkgf/m²psi

Number of Moles (n)

Temperature (T)

K°C°F

Pressure (P)

PahPaatmbarmbarTorrkgf/m²psi

Volume (V)

mLLgalcm²m²in²ft²

Temperature (T)

K°C°F

Pressure (P)

PahPaatmbarmbarTorrkgf/m²psi

Volume (V)

mLLgalcm²m²in²ft²

Number of Moles (n)

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Results: Pressure

Results: Pressure

- Pa - hPa - atm - bar - mbar - Torr - kgf/m² - psi

Pressure Measurement Unit Pa hPa atm bar mbar Torr kgf/m² psi

Pressure Formula:

P = nRT / V

Results: Volume

- mL - L - gal - cm² - m² - in² - ft²

Volume Measurement Unit mL L gal cm² m² in² ft²

Volume Formula:

V = nRT / P

Results: Number of Moles

 

mol

Moles Formula:

n = PV / RT

Results: Temperature

- K - °C - °F

Temperature Measurement Unit K °C °F

Temperature Formula:

T = PV / nR

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By

Joe Sexton

Joe is the creator of Inch Calculator and has over 20 years of experience in engineering and construction. He holds several degrees and certifications.

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Sexton, J. (n.d.). Ideal Gas Law Calculator. Inch Calculator. Retrieved June 23, 2026, from https://www.inchcalculator.com/ideal-gas-law-calculator/

How to Use the Ideal Gas Law

Our ideal gas law calculator can determine the pressure, volume, temperature, or number of moles of a gas when the other properties are known. It is based on the Ideal Gas Law, a fundamental equation in chemistry and physics that describes the relationship between the properties of an ideal gas.

Ideal Gas Formula

The Ideal Gas Law formula is:

PV = nRT

Where:

• P = Pressure
• V = Volume
• n = Number of moles of gas
• R = Ideal gas constant
• T = Absolute temperature

The ideal gas constant R is a proportionality constant that relates pressure, volume, temperature, and the amount of gas in the equation. The calculator above uses the constant 8.31446261815324 J/(mol·K) for calculations.

How to Calculate Pressure

To calculate pressure, rearrange the Ideal Gas Law:

P = nRT / V

Thus, the pressure P in pascals is equal to the number of moles n times the gas constant R times the temperature T in kelvins, divided by the volume V in cubic meters.

How to Calculate Volume

To calculate volume, solve the equation for V:

V = nRT / P

Thus, the volume V in cubic meters is equal to the number of moles n times the gas constant R times the temperature T in kelvins, divided by the pressure P in pascals.

How to Calculate Temperature

To calculate temperature, rearrange the formula as:

T = PV / nR

Thus, the temperature T in kelvins is equal to the pressure P in pascals times the volume V in cubic meters, divided by the number of moles n times the gas constant R.

How to Calculate the Number of Moles

To calculate the amount of gas in moles, solve for n:

n = PV / RT

Thus, the number of moles n is equal to the pressure P in pascals times the volume V in cubic meters, divided by the gas constant R times the temperature T in kelvins.