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Ideal gas law calculator

Solve PV = nRT for pressure, volume, amount of gas or temperature. Enter any three and this free ideal gas law calculator gives the fourth, in pascals, cubic meters, moles and kelvin. It runs in your browser.

How to use the ideal gas law

  1. 1Leave empty the one value you want to find
  2. 2Enter the other three, in the units shown
  3. 3Read all four values in the result
  4. Pressure, volume, amount and temperature, with the gap solved.

What you get

  • Any one of the four.Pressure, volume, amount or temperature, whichever you leave empty.
  • Fixed SI units.Pa, m³, mol and K, with R = 8.314462618 J/(mol·K).
  • Nothing is uploaded.The numbers are worked out in your browser and not sent anywhere.

What you can do

  • Find the pressure of a gas in Pa from volume, amount and temperature.
  • Find the volume in m³ from pressure, amount and temperature.
  • Find the amount in mol, or the temperature in K, from the other three.
  • Starts with 1 mol at 273.15 K in 0.0224 m³, the textbook case for about 101 kPa.

Good to know

  • Enter exactly three of the four fields. Any other number shows the message "Enter exactly three of the four."
  • Temperature must be in kelvin: add 273.15 to degrees Celsius. Pressure is in pascals, so 1 bar is 100 000 Pa.
  • Volume is in cubic meters, so 1 liter is 0.001 m³.
  • The law holds for an ideal gas. Real gases at high pressure or low temperature differ.

Questions

What is the ideal gas law?

PV = nRT: pressure times volume equals amount of gas times the gas constant times temperature.

Which units do I enter?

Pascals, cubic meters, moles and kelvin. Convert liters, bar or degrees Celsius first.

How do I find the volume of 1 mole of gas?

Enter pressure 101325, amount 1 and temperature 273.15, and leave volume empty. You get about 0.0224 m³, or 22.4 liters.

Why does it say to enter exactly three?

With fewer, there are two unknowns. With four, nothing is left to solve.

How it works

Small tools that run in your browser.

Four steps

  1. Start with a file or a task

    Drop a file, search, or pick a task.

  2. The tool opens in a window

    Open as many as you like, side by side as tabs.

  3. Results collect on the right

    Drag a result into the next tool.

  4. Save when you're done

    Saved files go to your downloads.

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iPhone and iPad

  1. Open the tool in Safari.
  2. Tap Share (the square with the arrow).
  3. Choose “Add to Home Screen”, then Add.

Android

  1. Open the tool in Chrome.
  2. Tap the menu (⋮) at the top right.
  3. Choose “Add to Home screen” or “Install app”.

Computer

  1. Open the tool in Chrome or Edge.
  2. Click the install icon in the address bar.
  3. Choose Install.

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