Ideal Gas Temperature Calculator

Calculate gas temperature using the ideal gas law T = PV/(nR)

Ideal Gas Law Temperature Calculator

How do you want to specify the amount of gas?

Pressure (P)

Gas pressure

Volume (V)

Volume occupied by the gas

Amount of Substance (n)

mol

Number of moles of gas particles

Temperature Unit

Unit for temperature display

Calculation Results

Gas Temperature

-272.85 °C

Kelvin:0.30 K

Celsius:-272.85 °C

Fahrenheit:-459.12 °F

Input Summary

Pressure:101325 Pa (101325 Pa)

Volume:0.005 L (0.000005 m³)

Moles:0.2000 mol

Formula used: T = PV/(nR) (Ideal Gas Law rearranged)

Calculation: T = (101325 Pa × 0.000005 m³) ÷ (0.2000 mol × 8.314 J/(mol·K))

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

Temperature classification: Cryogenic - Extremely low temperature, liquefaction region

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 (0°C), 101.325 kPa

❄️ Below water freezing point - cold conditions

🧊 Very low temperature - may approach liquid phase

Example Calculation

Example: 0.2 mol of air at 1 atm in 5 L container

Given:

• P = 1 atm = 101,325 Pa

• V = 5 L = 0.005 m³

• n = 0.2 mol

• R = 8.314 J/(mol·K)

Calculation Steps

T = PV/(nR)

T = (101,325 Pa × 0.005 m³) / (0.2 mol × 8.314 J/(mol·K))

T = 506.625 J / 1.6628 J/K

T = 304.7 K

T = 31.5°C

Temperature Scale Conversions

Key Reference Points

Absolute Zero: 0 K = -273.15°C

Water Freezing: 273.15 K = 0°C

Room Temperature: 298 K = 25°C

Water Boiling: 373.15 K = 100°C

Conversion Formulas

K = °C + 273.15

°F = (°C × 9/5) + 32

R = K × 9/5

Gas Law Requirements

Always use absolute temperature (Kelvin) in gas law calculations

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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Temperature result is always in absolute scale (Kelvin) first

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

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Higher pressure and smaller volume lead to higher temperature

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Ideal gas law assumes no intermolecular forces

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

Understanding Ideal Gas Temperature Calculation

Temperature in Gas Laws

Temperature is a fundamental property that measures the average kinetic energy of gas molecules. In the ideal gas law, temperature must be expressed in absolute scale (Kelvin) because it represents the theoretical limit where molecular motion ceases.

Formula Derivation

•Ideal Gas Law: PV = nRT
•Solve for T: T = PV/(nR)
•Units: [Pa·m³] / [mol·J/(mol·K)] = K
•Result: Temperature in Kelvin

Calculation Process

Step-by-step calculation:

T = PV/(nR)

Process:

1. Convert pressure to Pascals (Pa)

2. Convert volume to cubic meters (m³)

3. Ensure moles are in mol

4. Apply formula: T = (P × V) ÷ (n × 8.314)

5. Result is in Kelvin

6. Convert to desired temperature scale

Applications

HVAC Systems: Calculating air temperature in ducts
Engine Design: Combustion chamber temperatures
Chemical Processing: Reactor temperature control
Laboratory Work: Gas sample analysis
Meteorology: Atmospheric temperature calculations

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