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Ideal Gas Law Calculator (PV = nRT)

Solves the ideal gas equation PV = nRT for any missing variable with universal gas constant R = 0.08206 L·atm/(mol·K).

What is the Ideal Gas Law?

The Ideal Gas Law is the equation of state of a hypothetical ideal gas, combining Boyle's, Charles's, and Avogadro's laws.

Formula & Step-by-Step Calculation

P × V = n × R × T

P in atm, V in Liters, n in moles, T in Kelvin, R = 0.082057 L·atm/(mol·K).

Worked Step-by-Step Examples

Example 1

Volume of 1 mole of ideal gas at STP (1 atm, 273.15 K)

Solution: 22.41 Liters
• V = (1 × 0.08206 × 273.15) / 1 = 22.41 L

Common Real-World & Academic Use Cases

  • ✓ Gas cylinder pressurized storage
  • ✓ Pneumatics volume design
  • ✓ Atmospheric weather balloon buoyancy

How to Use the Ideal Gas Law Calculator (PV = nRT)

1

Fill 3 Known Variables

Enter any 3 values among P, V, n, and T.

2

Leave 1 Blank

Leave unknown box empty.

3

Read Calculated Property

Inspect output with units.

Frequently Asked Questions

Q: What is STP?

Standard Temperature and Pressure: 0°C (273.15 K) and 1 atmosphere (101.325 kPa).

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