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Ideal Gas Law Calculator (PV = nRT)

Solve PV = nRT for pressure, volume, moles or temperature with atm, kPa, mmHg, L, mL, °C and K — or enter grams and a formula. Unit conversions and steps shown. Free for chemistry and physics.

Volume

12.233 L
  1. 1

    Ideal gas law

    PV=nRT,R=8.314 J mol−1K−1=0.08206 L atm mol−1K−1PV = nRT,\quad R = 8.314\ \mathrm{J\,mol^{-1}K^{-1}} = 0.08206\ \mathrm{L\,atm\,mol^{-1}K^{-1}}
  2. 2

    Convert to SI units

    P=1 atm=101325 Pa,T=25 ∘C=298.15 K,n=mM=16 g31.998 g/mol (O2)=0.50003 molP = 1\ \mathrm{atm} = 101325\ \mathrm{Pa},\quad T = 25\ ^\circ\mathrm{C} = 298.15\ \mathrm{K},\quad n = \frac{m}{M} = \frac{16\ \mathrm{g}}{31.998\ \mathrm{g/mol}\ (\mathrm{O_{2}})} = 0.50003\ \mathrm{mol}
  3. 3

    Solve for V

    V=nRTP=0.50003×8.314×298.15101325=1.223×10−2 m3=12.233 LV = \frac{nRT}{P} = \frac{0.50003\times8.314\times298.15}{101325} = 1.223\times10^{-2}\ \mathrm{m^3} = 12.233\ \mathrm{L}

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FAQ

Which value of R should I use?

R = 8.314 J/(mol·K) with SI units (Pa, m³), or 0.08206 L·atm/(mol·K) with litres and atmospheres. The calculator converts everything to SI first, so you can mix units.

Why must temperature be in kelvin?

Gas laws need absolute temperature. Celsius and Fahrenheit inputs are converted to kelvin (K = °C + 273.15).

What is the molar volume at STP?

One mole of an ideal gas at 0 °C and 1 atm occupies 22.41 L.

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