What is an ideal gas?

An ideal gas is a simplified model where particles have negligible volume and experience no intermolecular forces. Under many everyday conditions (low pressure, moderate temperature), real gases behave nearly ideally and follow PV = nRT.

Ideal gas law equation

PV = nRT, where P is pressure, V is volume, n is amount of substance (moles), T is absolute temperature in kelvins, and R is the universal gas constant (8.314462618 J⋅mol⁻¹⋅K⁻¹).

This calculator uses R = 8.314462618 J/(mol·K), which is equivalent to Pa·m³/(mol·K). Inputs are converted to SI units so you can use any supported pressure, volume, and temperature units.

When can I use the ideal gas law?

Use it when gases are not at very high pressure or very low temperature and do not strongly deviate from ideal behavior. For extreme conditions or highly polar gases, real-gas equations of state give better results.

What is the formula of the ideal gas law?

PV = nRT. Rearrangements: P = nRT/V, V = nRT/P, n = PV/(RT), T = PV/(nR).

What is the pressure of 0.1 moles of a gas at 50 °C in a cubic meter?

Using P = nRT/V with n = 0.1 mol, T = 323.15 K, V = 1 m³, R = 8.314462618, P ≈ 268.68 Pa (≈0.269 kPa or 0.00265 atm).

What gas laws are embedded in the ideal gas law?

Boyle’s law (P∝1/V at constant n,T), Charles’s law (V∝T at constant n,P), Gay-Lussac’s law (P∝T at constant n,V), and Avogadro’s law (V∝n at constant P,T).

How do I calculate temperature from moles, volume, and pressure?

Rearrange to T = PV/(nR). Convert inputs to consistent units (e.g., Pa, m³, mol), then compute T in kelvins and convert to °C or °F if needed.

Ideal Gas Law Calculator

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Ideal Gas Law Calculator

Real-time PV = nRT with flexible units.

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