Van Der Waals Equation Calculator

The Van Der Waals equation is an essential formula for real gases, adjusting the ideal gas law by considering intermolecular forces and the volume occupied by gas molecules. The Van Der Waals equation is:

\[ \left(P + \frac{a}{V^2}\right)(V - b) = nRT \]

Where:

• \( P \) is pressure (atm)
• \( V \) is volume (liters)
• \( T \) is temperature (Kelvin)
• \( n \) is the number of moles
• \( a \) and \( b \) are Van Der Waals constants
• \( R \) is the gas constant (0.0821 L·atm/(mol·K))

Example Calculation

For a gas with \( P = 2 \, \text{atm} \), \( V = 10 \, \text{L} \), \( T = 300 \, \text{K} \), \( a = 1.36 \, \text{L}^2\text{atm/mol}^2 \), and \( b = 0.0318 \, \text{L/mol} \), the number of moles \( n \) is calculated as:

\[ n = \frac{(2 + \frac{1.36}{10^2})(10 - 0.0318)}{0.0821 \times 300} \approx 0.081 \, \text{mol} \]