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Standard Temperature and Pressure (STP & SATP

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### Thermodynamics, Gas Physics & Standard Reference State Metrology Standard temperature and pressure definitions establish universal thermodynamic baselines: - **1. Ideal Gas Molar Volume Formula.

Reviewed by Ahmad Faraz · BSCS
Last updated:
Editorial Guidelines

⚙ Input Values

mol
g/mol
L
atm
°C

📊 Results

Standard Molar Volume (V_m)
22.711
L/mol
Total Gas Volume at Reference Standard
22.711
L
Standard Gas Density (ρ)
1.2335
g/L (kg/m³)
Converted Volume from (P₁, V₁, T₁)
0.9441
L at standard
Standard Reference Pressure
100
kPa
Standard Reference Temperature
273.15
K (°C)
✦ IUPAC & NIST Physical Chemistry Diagnostic Summary
Thermodynamic Gas Metrology Profile (Nitrogen (IUPAC Modern STP)): Standard Molar Volume V_m = 22.711 L/mol at T = 273.15 K (0°C) and P = 100.000 kPa (0.9869 atm). Total Gas Volume: 1.00 moles occupies 22.711 Liters (0.0227 m³). Gas Density: ρ = 1.2335 g/L (kg/m³) for M = 28.01 g/mol. Combined Gas Law Conversion: 1.00 L of gas measured at 1.00 atm and 20.0°C converts to exactly 0.9441 L under IUPAC Modern STP (0°C, 1 bar / 100 kPa). Historical IUPAC Standardization Note: In 1982, IUPAC updated the definition of standard pressure for STP from 1.000 atm (101.325 kPa) to exactly 1.000 bar (100.000 kPa), increasing the ideal gas molar volume from 22.414 L/mol to 22.711 L/mol.
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📐 Formula

Total Gas Volume: V = n * V_m
Standard Gas Density: rho = Mw / V_m (g/L)
Combined Gas Law conversion: V_std = V1 * (P1 / P_std) * (T_std / T1)

💡 Practical Example

✅

A chemist measuring 1.00 L of gas in a 20°C lab at 1.00 atm applies the Combined Gas Law to convert it to IUPAC Modern STP, discovering its true standard volume is 0.944 L with a molar volume of 22.711 L/mol.

📖 About Standard Temperature and Pressure (STP & SATP

Thermodynamics, Gas Physics & Standard Reference State Metrology

Standard temperature and pressure definitions establish universal thermodynamic baselines:

  • **
  • Ideal Gas Molar Volume Formula**:

V_m = R · T_stdP_std

Total Volume (V) = n × V_m, Standard Gas Density (ρ) = (M_w) / (V_m)

  • **
  • Combined Gas Law State Conversion**:

V_std = V_1 × ( (P_1) / (P_std) ) × ( T_stdT_1 )

  • **
  • The Four Major Standard Reference Baselines**:
  • IUPAC Modern STP (Since 1982): 0^ (273.15 K), 100.00 kPa (1 bar) V_m = 22.7110 L/mol
  • NIST / Classical STP (Pre-1982): 0^ (273.15 K), 101.325 kPa (1 atm) V_m = 22.4140 L/mol
  • IUPAC SATP (Standard Ambient): 25^ (298.15 K), 100.00 kPa (1 bar) V_m = 24.7896 L/mol
  • ISO 13443 Standard Metric: 15^ (288.15 K), 101.325 kPa (1 atm) V_m = 23.6443 L/mol

How to Use This Calculator

Enter your Standard Reference Definition Standard — choose from IUPAC Modern STP (0°C / 273.15 K, 100 kPa / 1 bar → V_m = 22.711 L/mol), NIST / Classical STP (0°C / 273.15 K, 101.325 kPa / 1 atm → V_m = 22.414 L/mol), IUPAC SATP (25°C / 298.15 K, 100 kPa / 1 bar → V_m = 24.790 L/mol), Amount of Gas (Moles - n) (e.g. 1.00 in mol), Gas Molar Mass (g/mol) (e.g. 28.013 in g/mol), Non-Standard Volume to Convert (Optional V₁) (e.g. 1.00 in L), Initial Pressure (P₁ in atm) (e.g. 1.00 in atm), Initial Temperature (T₁ in °C) (e.g. 20.0 in °C), and Gas & Thermodynamic Benchmark — choose from Custom Gas & Conditions, Nitrogen N₂ (1.0 mol at IUPAC STP: 0°C, 1 bar) → V = 22.711 L | Density = 1.233 g/L, Oxygen O₂ (1.0 mol at NIST STP: 0°C, 1 atm) → V = 22.414 L | Density = 1.428 g/L. Verify your units match the formula standard (SI vs imperial) before entering values.

The Formula

Total Gas Volume: V = n * V_m

Standard Gas Density: rho = Mw / V_m (g/L)

Combined Gas Law conversion: V_std = V1 (P1 / P_std) (T_std / T1)

Worked Example

A chemist measuring 1.00 L of gas in a 20°C lab at 1.00 atm applies the Combined Gas Law to convert it to IUPAC Modern STP, discovering its true standard volume is 0.944 L with a molar volume of 22.711 L/mol.

Understanding Your Result

Force in Newtons (N): 1 N = 1 kg·m/s². Reference values: 1 kg object at Earth's surface weighs 9.81 N, atmospheric pressure 101,325 Pa (N/m²). Pressure benchmarks: car tire 30–35 psi (207–241 kPa), blood pressure systolic 120 mmHg (16 kPa), deep sea at 3,000m depth ~300 atm (30 MPa). Torque = Force × moment arm length — doubling the wrench length doubles the torque for the same applied force. Always verify whether gauge or absolute pressure is required for the application.

💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

Why did IUPAC change the definition of STP from 1 atm to 1 bar?

In 1982, IUPAC recommended defining standard pressure as exactly 100 kPa (1 bar) instead of the historical 101.325 kPa (1 atm) to align thermodynamic standards with the decimal SI unit system. This changed the molar volume of an ideal gas from 22.414 L/mol to 22.711 L/mol.

What is the difference between STP and SATP?

STP (Standard Temperature and Pressure) is defined at 0°C (273.15 K) and 1 bar, with a molar volume of 22.711 L/mol. SATP (Standard Ambient Temperature and Pressure) is defined at room temperature 25°C (298.15 K) and 1 bar, with a larger molar volume of 24.790 L/mol.

What is the molar volume of an ideal gas at classical STP?

At classical NIST STP, the molar volume of an ideal gas is exactly 22.41397 Liters per mole.

How do you calculate gas density at STP?

Divide the gas molar mass by the standard molar volume. For example, Oxygen at NIST STP has a density of 32.00 / 22.414 = 1.428 g/L.

Do real gases deviate from 22.711 L/mol at STP?

Yes. Real gases deviate slightly from ideal gas behavior due to intermolecular van der Waals attractions and molecular volume. For example, at IUPAC STP, Nitrogen is 22.703 L/mol, Carbon Dioxide is 22.574 L/mol, and Helium is 22.712 L/mol.

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