This tool calculates the pressure, volume, or temperature of real gases using the Van der Waals equation.

## Van der Waals Equation Calculator

This calculator uses the Van der Waals equation to calculate the real gas behavior. The Van der Waals equation is:

**(P + a(n/V)²)(V – nb) = nRT**

Where:

- P = Pressure
- V = Volume
- T = Temperature
- n = Number of moles
- a and b are Van der Waals constants specific to each gas
- R = Universal gas constant

### How to Use the Calculator

Input the values for pressure (P), volume (V), temperature (T), number of moles (n), and the Van der Waals constants (a and b). Click the “Calculate” button to get the result.

### How the Calculation Works

The Van der Waals equation adjusts the Ideal Gas Law to account for the finite size of molecules and the intermolecular forces between them. The equation is solved by rearranging it to find the value of interest.

### Limitations

The Van der Waals equation has limitations when applied to real gases over a wide range of temperatures and pressures. It works best for gases at moderate temperature and pressure and may not be accurate for gases under extreme conditions.

## Use Cases for This Calculator

### Calculate Pressure using Van der Waals Equation

Enter the values for the constants (a and b), the number of moles, and the temperature to find the pressure with van der Waals equation. The calculator will provide you with an accurate pressure reading based on the input values.

### Calculate Volume using Van der Waals Equation

Input the values of the constants (a and b), pressure, number of moles, and temperature to determine the volume using van der Waals equation. Get the volume output instantly for the given set of inputs, making your calculations quick and error-free.

### Calculate Temperature using Van der Waals Equation

Fill in the values of the constants (a and b), pressure, volume, and number of moles to compute the temperature using van der Waals equation. Obtain the accurate temperature estimation with the provided calculator, ensuring precise results for your calculations.

### Calculate Constants (a and b) using Van der Waals Equation

Enter the pressure, volume, number of moles, and temperature to determine the constants (a and b) using van der Waals equation. The calculator will help you derive the values for a and b based on the given inputs, simplifying your calculations effectively.

### Calculate Number of Moles using Van der Waals Equation

Input the constants (a and b), pressure, volume, and temperature to find out the number of moles with van der Waals equation. Obtain the precise quantity of moles with just a few clicks using the calculator, streamlining your computations effortlessly.

### Calculate Compressibility Factor using Van der Waals Equation

Provide the values for the constants (a and b), pressure, volume, number of moles, and temperature to calculate the compressibility factor. Get the compressibility factor result promptly with the calculator, making your calculations efficient and accurate.

### Calculate Ideal Gas Volume using Van der Waals Equation

Enter the constants (a and b), pressure, number of moles, and temperature to determine the ideal gas volume using van der Waals equation. Obtain the ideal gas volume result instantly based on the input parameters, facilitating your calculations effectively.

### Calculate Reduced Pressure using Van der Waals Equation

Fill in the values for the constants (a and b), pressure, critical pressure, and temperature to compute the reduced pressure. The calculator will provide you with the reduced pressure output swiftly, aiding in your calculations with accuracy and ease.

### Calculate Reduced Temperature using Van der Waals Equation

Input the constants (a and b), temperature, critical temperature, and pressure to determine the reduced temperature. Get the reduced temperature result quickly with the calculator, simplifying your calculations and ensuring precise outcomes.

### Calculate Critical Constants using Van der Waals Equation

Provide the values for the constants (a and b), critical pressure, and critical temperature to calculate the critical constants. The calculator will help you derive the critical constants accurately based on the input parameters, facilitating your computations effectively.