Ideal Gas Law Calculator

Solve P·V = n·R·T step by step — free ideal gas law calculator with worked examples, real-world defaults and instant answers.

P·V = n·R·T

Volume V (m³)Amount n (mol)Temperature T (K)

1,01,380Pa

Pressure P

1
Rearrange PV = nRT for pressure:
P = nRT / V
2
Substitute (R = 8.314 J/mol·K):
P = 1 × 8.314 × 273.15 / 0.0224
3
Result:
P = 1,01,380 Pa = 1.001 atm = 101.4 kPa

Defaults verify the classic result: 1 mol of ideal gas at STP (0 °C, 1 atm) occupies 22.4 L. Use kelvin, never °C, inside gas laws. Real gases deviate at high pressure / low temperature.

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Step-by-step ideal gas law calculator for students, teachers and curious minds.

About Ideal Gas Law Calculator

The Ideal Gas Law Calculator solves P·V = n·R·T for you with the full working shown — every substitution, every unit, every step, exactly the way a good teacher writes it on the board. Defaults verify the classic result: 1 mol of ideal gas at STP (0 °C, 1 atm) occupies 22.4 L.

How to use Ideal Gas Law Calculator

1Enter your known values in the input fields (sensible real-world defaults are pre-filled).
2The tool substitutes them into P·V = n·R·T and recomputes live.
3Read the answer in the result box, then expand the step-by-step solution to see the full working.
4Copy the method into your notebook, or change inputs to explore how the result behaves.

Why use Ideal Gas Law Calculator?

✓Solves P·V = n·R·T instantly as you type — no submit button, no waiting
✓Step-by-step solution shown for every calculation, not just the final answer
✓Realistic example values pre-loaded so you can see a worked example immediately
✓100% free, no sign-up, runs entirely in your browser — your numbers never leave your device
✓Mobile-friendly and fast enough to use mid-homework or mid-lesson

Frequently asked questions

What formula does the Ideal Gas Law Calculator use?+

It uses P·V = n·R·T. The steps section shows the formula with your actual numbers substituted, so you can follow (and verify) every stage of the calculation rather than trusting a black box.

What should I keep in mind when using this calculator?+

Defaults verify the classic result: 1 mol of ideal gas at STP (0 °C, 1 atm) occupies 22.4 L. Use kelvin, never °C, inside gas laws.

Is the Ideal Gas Law Calculator free to use?+

Completely free, with no sign-up or limits. All computation happens client-side in your browser, so it is fast, private, and works even on slow connections once the page has loaded.

Can I use this for homework, teaching or exam prep?+

That is exactly what it is built for. The step-by-step working mirrors how solutions are presented in class, so you can check homework, build worked examples for teaching, or practise method recall before exams.

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