Boyle's Law

Also known as P₁V₁ = P₂V₂ · pressure volume law

P1V1=P2V2P_1 V_1 = P_2 V_2

Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!

Learning zone

Robert Boyle published his gas law in 1662, making it one of the oldest quantitative laws in physics: at constant temperature, the pressure and volume of a trapped gas are inversely proportional, so their product never changes. Cap a syringe and squeeze — compress 60 mL of air at 100 kPa down to 20 mL and the pressure climbs to 300 kPa. Molecularly, shrinking the space raises how often molecules hammer the walls, and pressure rises in exact proportion.

The law matters wherever gas gets squeezed. Scuba divers learn it first: air breathed at depth expands as they ascend, which is why the cardinal rule is never to hold your breath on the way up. Boyle's law assumes the temperature and the amount of gas stay fixed; change either and you need Charles's law or the combined gas law instead.

Boyle's Law
P1V1=P2V2P_1 V_1 = P_2 V_2
Where
  • P1P_1= Initial pressure
  • V1V_1= Initial volume
  • P2P_2= Final pressure
  • V2V_2= Final volume
Missing one of these? Work it out first, then come back