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van der Waals Gas Pressure — result sheet
Calculate non-ideal gas pressure from amount, temperature, volume, and van der Waals constants.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: p = nRT/(V−nb) − a(n/V)², requiring V>nb.
The van der Waals equation modifies the ideal-gas law for finite molecular volume and intermolecular attraction. The excluded-volume term reduces the usable volume, while the attraction term reduces the pressure relative to an ideal gas at the same n, T, and V. The page returns both real-gas pressure and the ideal-gas comparison to make the model difference visible.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Amount of gas — mol; minimum 1.0E-6; maximum 1000000000
- Absolute temperature — K; minimum 1.0E-6; maximum 1000000
- Container volume — m³; minimum 1.0E-9; maximum 1000000000
- van der Waals constant a — Pa·m⁶/mol²; minimum 0; maximum 1000000000
- van der Waals constant b — m³/mol; minimum 0; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Amount of gas | 1 |
| Absolute temperature | 300 |
| Container volume | 0.024 |
| van der Waals constant a | 0.137 |
| van der Waals constant b | 3.87E-5 |
Real-gas pressure is about 103.86 kPa, compared with about 103.93 kPa for the ideal-gas reference.
Assumptions and limits
- The constants a and b use the SI units shown and describe the gas being modeled.
- The entered volume must exceed nb; phase behavior, critical-point transitions, and mixtures are not solved.
- The ideal-gas comparison uses p=nRT with the same amount, temperature, and volume and is a reference rather than a correction.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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