Ideal Gas Law Calculator

An Ideal Gas Law Calculator is a tool that helps you find the pressure, volume, number of moles, or temperature of a gas using the equation PV=nRT.

PV=nRT

Where:

  • P = pressure
  • V = volume
  • n = number of moles
  • R = gas constant
  • T = temperature

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Chemistry gas law calculator for moles & volume

For an ideal gas, the formula is:

P×V=n×R×T

  • Find volume (V):

V=Pn×R×T​

  • Find moles (n):

n=R×TP×V​

How to use the ideal gas law calculator

The ideal gas law, PV = nRT, relates pressure (P), volume (V), moles (n), and temperature (T) of a gas. You can calculate any one of these if you know the other three, using the gas constant (R). Always convert temperature to Kelvin and use units that match R. This law works best for low-pressure, high-temperature gases, while real gases may behave slightly differently.

For example, if a gas has V=1.0m³, n=2.0 moln = 2.0 \, \text{mol}n=2.0mol, and T=300 KT = 300 \, \text{K}T=300K, then

P=VnRT​

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Ideal gas law problem solver calculator

Ideal Gas Law:

P×V=n×R×T

Where:

  • P = pressure (absolute)
  • V = volume
  • n = number of moles of gas
  • R = gas constant (e.g., 0.08206 L·atm·mol⁻¹·K⁻¹)
  • T = temperature in Kelvin

To find a missing variable:

  • Pressure:

P=VnRT​

  • Volume:

V=PnRT​

  • Moles:

n=RTPV​

  • Temperature:

T=nRPV​

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FAQ about Ideal Gas Law Calculator

What inputs do I need for an ideal gas law calculator?

You need any three of these four: pressure (P), volume (V), temperature (T), and number of moles (n); the calculator then finds the missing value using PV = nRT.

How does the calculator solve for volume using PV = nRT?

To find volume, the calculator rearranges the Ideal Gas Law: V = nRT ÷ P, using the entered values for pressure, moles, and temperature.

Can I use the calculator to find the number of moles?

Yes, enter pressure, volume, and temperature, then the calculator uses n = PV ÷ RT to find the number of moles.

How do I convert temperature to Kelvin for the calculator?

Add 273.15 to the Celsius temperature: K = °C + 273.15.

Does the ideal gas law calculator work for real gases?

Not exactly—it’s accurate for ideal gases at low pressure and high temperature; real gases deviate under high pressure or low temperature.

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