Ideal Gas Law Calculator

Formula

The formula to calculate the moles of gas using the Ideal Gas Law is:

\[ n = \frac{PV}{RT} \]

Where:

\( P \) is the pressure in atmospheres (atm).
\( V \) is the volume in liters (L).
\( n \) is the number of moles of gas.
\( R \) is the ideal gas constant (0.0821 L·atm·K⁻¹·mol⁻¹).
\( T \) is the temperature in Kelvin (K).

Example

Let's say the pressure (P) is 2 atm, the volume (V) is 10 L, and the temperature (T) is 300 K. The number of moles of gas would be calculated as follows:

\[ n = \frac{2 \cdot 10}{0.0821 \cdot 300} \approx 0.81 \text{ moles} \]

So, the number of moles of gas is approximately 0.81 moles.

What is the Ideal Gas Law?

The Ideal Gas Law is a fundamental equation in chemistry and physics that describes the behavior of an ideal gas. It combines several gas laws, including Boyle’s Law, Charles’s Law, and Avogadro’s Law, into a single equation: \( PV = nRT \). This equation relates the pressure, volume, and temperature of a gas to the number of moles of the gas and the ideal gas constant. The Ideal Gas Law is used to predict the behavior of gases under various conditions and is a crucial tool in both theoretical and practical applications in science and engineering.