Ideal Gas Pressure Calculator

Calculate ideal-gas pressure from amount of gas, absolute temperature and volume.

LIVE INPUTS

Enter engineering parameters

Results update immediately. Select a unit for every input before reviewing the result.

CALCULATION INPUTS

LIVE 2D EXPLANATION

101.56 kPaAmount of gas: 1 molA / V
p = nRT / VThe geometry, arrows and annotations respond to the current calculation state.

PRIMARY RESULT

Absolute pressure101.56kPa
Formula usedp = nRT / V
Calculation basisThermodynamics Fundamentals
Live calculation ready for review

This is an educational or preliminary result. Apply relevant standards and engineering judgement before use.

INPUT SUMMARY

Current calculation basis

Entered values: Amount of gas: 1 mol · Absolute temperature: 293.15 K · Volume: 0.024 m³

Converted SI values: amount = 1 SI · temperature = 293.15 SI · volume = 0.024 SI

Engineering interpretation: Using the current inputs, calculate ideal-gas pressure from amount of gas, absolute temperature and volume. The current result is 101.56 kPa.

ENGINEERING PRINCIPLE

The ideal gas law relates pressure, volume, amount of gas and absolute temperature for an idealized gas.

Calculate ideal-gas pressure from amount of gas, absolute temperature and volume.

FORMULA & VARIABLES

p = nRT / V

  • p = absolute pressure (Pa)
  • n = amount of gas (mol)
  • R = 8.314462618 J/(mol·K)
  • T = absolute temperature (K)
  • V = volume (m³)

CALCULATION STEPS

How this result is assembled

  1. Convert the entered values to the SI basis required by the formula.
  2. Apply p = nRT / V to the converted values.
  3. Report 101.56 kPa in the selected output presentation and review the stated assumptions.

FORMULA VERIFICATION

Units, scope and reference

Reference: NIST SP 811 for unit relationships; standard classical mechanics and strength-of-materials derivations for the stated scalar relation.

Internal basis: All inputs are converted to the calculator’s SI base before the formula is evaluated.

Valid conditions: Positive finite scalar input values in the current calculator model.

Limitations: The gas is treated as ideal. Temperature must be absolute temperature in kelvin. Real-gas effects, phase change and mixtures are excluded.

ASSUMPTIONS

Use this result in context

  • The gas is treated as ideal.
  • Temperature must be absolute temperature in kelvin.
  • Real-gas effects, phase change and mixtures are excluded.

Results must be verified by a qualified engineer and checked against applicable engineering standards, material properties, loading conditions and design requirements.

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