Ideal Gas Volume Calculator

Calculate gas volume using the ideal gas law V = nRT/P

Ideal Gas Law Volume Calculator

How do you want to specify the amount of gas?

Pressure (P)

Gas pressure

Temperature (T)

Gas temperature

Amount of Substance (n)

mol

Number of moles of gas particles

Volume Unit

Unit for volume display

Calculation Results

Gas Volume

49.576382 L

Cubic meters:0.049576 m³

Liters:49.576 L

Milliliters:49576.4 mL

Input Summary

Pressure:100000 Pa (100000 Pa)

Temperature:25 °C (298.15 K)

Moles:2.0000 mol

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

Calculation: V = (2.0000 mol × 8.314 J/(mol·K) × 298.15 K) ÷ 100000 Pa

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

Volume classification: Large - Large volume, room scale

Gas Behavior Analysis

📊 Ideal behavior: Gas behaves ideally under these conditions.

💡 Molar volume at STP: 22.710 L/mol

Example Calculation

Example: 2 mol of nitrogen at 25°C and 1 bar

Given:

• n = 2 mol

• T = 25°C = 298.15 K

• P = 1 bar = 100,000 Pa

• R = 8.314 J/(mol·K)

Calculation Steps

V = nRT/P

V = (2 mol × 8.314 J/(mol·K) × 298.15 K) / 100,000 Pa

V = 4,956.09 J / 100,000 Pa

V = 0.04956 m³

V = 49.56 L

Volume Reference Values

Molar Volume at STP

STP (0°C, 1 bar): 22.710 L/mol

Standard: 22.711 L/mol

Common Volume Units

1 m³ = 1,000 L = 1,000,000 mL

1 L = 0.264 gal (US)

1 ft³ = 28.317 L

1 in³ = 16.387 mL

Reference Volumes

Balloon: ~2-5 L

Basketball: ~7 L

Room: ~50-100 m³

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

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Volume increases with temperature and moles, decreases with pressure

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

✓

Always convert temperature to Kelvin for gas law calculations

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Ideal gas law works best at high temperature and low pressure

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

Understanding Ideal Gas Volume Calculation

Volume in Gas Laws

Volume is the amount of space occupied by gas molecules. In the ideal gas law, volume is directly proportional to temperature and amount of gas, but inversely proportional to pressure. This relationship helps us predict how gases behave under different conditions.

Formula Derivation

•Ideal Gas Law: PV = nRT
•Solve for V: V = nRT/P
•Units: [mol·J/(mol·K)·K] / [Pa] = m³
•Result: Volume in cubic meters

Calculation Process

Step-by-step calculation:

V = nRT/P

Process:

1. Convert temperature to Kelvin

2. Convert pressure to Pascals

3. Ensure moles are in mol

4. Calculate: (n × 8.314 × T) ÷ P

5. Result is in cubic meters

6. Convert to desired volume unit

Applications

Container Design: Determining gas storage requirements
Chemical Reactions: Predicting product volumes
HVAC Systems: Air volume calculations
Laboratory Work: Gas collection and measurement
Industrial Processes: Gas handling and transport

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