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Ideal Gas Pressure Calculator

Calculate gas pressure using the ideal gas law PV = nRT

Ideal Gas Law Calculator

Volume occupied by the gas

mol

Number of moles of gas particles

Temperature of the gas

Unit for pressure display

Calculation Results

Gas Pressure

247881.910 kPa
Pascals:247881910.00 Pa
Atmospheres:2446.4042 atm
Bar:2478.8191 bar

Input Summary

Volume:0.01 L (0.000010 m³)
Moles:1.0000 mol
Temperature:25 °C (298.15 K)

Formula used: P = nRT/V (Ideal Gas Law)

Calculation: P = (1.0000 mol × 8.314 J/(mol·K) × 298.15 K) ÷ 0.000010 m³

Gas constant (R): 8.314 J/(mol·K) = 8.314 Pa·m³/(mol·K)

Pressure classification: Very High Pressure

Gas Behavior Analysis

📊 Non-ideal behavior: Gas may deviate from ideal behavior due to high pressure or low temperature.
💡 Standard conditions (STP): 273.15 K, 101.325 kPa
📈 High pressure may cause deviations from ideal behavior

Example Calculation

Example: 1 mol of gas at 25°C in 10 L

Given:

• n = 1 mol

• T = 25°C = 298.15 K

• V = 10 L = 0.01 m³

• R = 8.314 J/(mol·K)

Calculation Steps

P = nRT/V

P = (1 mol × 8.314 J/(mol·K) × 298.15 K) / 0.01 m³

P = 2,478.82 J/m³

P = 2,478.82 Pa = 2.48 kPa

P = 0.0245 atm

Gas Constants & Conversions

Ideal Gas Constant (R)
8.314 J/(mol·K)
0.08206 L·atm/(mol·K)
62.364 L·mmHg/(mol·K)
1.987 cal/(mol·K)
Standard Conditions
STP: 0°C (273.15 K), 1 atm
SATP: 25°C (298.15 K), 1 bar
Pressure Conversions
1 atm = 101,325 Pa
1 bar = 100,000 Pa
1 mmHg = 133.322 Pa
1 psi = 6,895 Pa

Common Gas Molar Masses

H₂2.016 g/mol
He4.003 g/mol
N₂28.014 g/mol
O₂31.998 g/mol
CO₂44.01 g/mol
CO28.01 g/mol
CH₄16.043 g/mol
C₃H₈44.097 g/mol
C₄H₁₀58.123 g/mol
NH₃17.031 g/mol

Calculation Tips

✓

Always convert temperature to Kelvin (K = °C + 273.15)

✓

Use consistent units: SI units work best (m³, mol, K, Pa)

✓

Ideal gas law works best at high temperature and low pressure

✓

For real gases, consider using van der Waals equation at extreme conditions

✓

Calculate moles: n = mass(g) / molar mass(g/mol)

Understanding the Ideal Gas Law

What is the Ideal Gas Law?

The ideal gas law, PV = nRT, describes the relationship between pressure, volume, temperature, and amount of an ideal gas. An ideal gas consists of point particles with no intermolecular forces and perfectly elastic collisions.

Formula Components

  • •P: Pressure of the gas (Pa, atm, bar, etc.)
  • •V: Volume occupied by the gas (m³, L, etc.)
  • •n: Number of moles of gas particles
  • •R: Ideal gas constant (8.314 J/(mol·K))
  • •T: Absolute temperature in Kelvin (K)

Calculation Steps

To calculate pressure:

P = nRT / V


Step-by-step:

1. Convert temperature to Kelvin

2. Convert volume to cubic meters

3. Calculate: n × R × T

4. Divide by volume

5. Convert pressure to desired unit

When to Use

  • Best conditions: High temperature, low pressure
  • Real gases: H₂, He, N₂, O₂ at normal conditions
  • Engineering: HVAC, chemical processes, gas storage
  • Chemistry: Stoichiometry, reaction calculations
  • Physics: Thermodynamics, kinetic theory

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