Tuesday, February 04, 2025

The Physics Behind Pressure Cookers

Pressure cooker. Image courtesy www.yourbestdigs.com/reviews/the-best-pressure-cooker, CC BY 2.0  via Wikimedia Commons.

Water boils at 100 °C. But that's only at atmospheric pressure at sea level. All liquids boil when their vapour pressure exceeds the ambient atmospheric pressure. Vapour pressure varies with temperature (see graph below) and also different liquids have different vapour pressures at the same temperature. The ambient atmospheric pressure effectively "holds" the molecules of a liquid in, preventing them from escaping. Vapour pressure is defined as the pressure exhibited by vapour present above a liquid's surface. When water reaches 100 °C, its vapour pressure is 1 atmosphere. That's equivalent to 1 bar, 15 pounds per square inch (PSI) or 101325 pascals (Pa) in metric. Since that equals the ambient atmospheric pressure (which is 1 atm absolute above vacuum), any increase in temperature will increase the water's vapour pressure, allowing it to boil.
 
Graph of temperature versus vapour pressure
Vapour pressure versus temperature for water. No machine-readable author provided. Adam Rędzikowski assumed (based on copyright claims), CC BY-SA 3.0

 

Volatile Liquids 

 

Some liquids have higher vapour pressure for the same temperature. Alcohol for instance which has a value greater than that of water and ethanol, a type of alcohol, boils at 78 °C.
 

Pressure cookers

 

Pressure cookers work by increasing pressure within the cooking vessel as the temperature of the contents increases. Gay-Lussac's law states that at constant volume, pressure of a gas increases proportionately with absolute temperature. If you've ever put an empty juice or milk carton in the fire, with the cap tightly shut, you'll know that it bulges up and eventually bursts. A pressure cooker typically operates at a pressure of 2 atm absolute (or 1 atm gauge above atmospheric pressure). Water temperature has to increase so its vapour pressure equals this before it boils. This occurs at approximately 120 °C and it's this higher temperature that increases the cooking speed of the contents. Also steam at 120 degrees has more energy than water at the same temperature. This is because when water undergoes a phase change to steam, it gains energy, known as latent heat of vaporisation. When steam comes in contact with food, it has to lose that energy first before it turns back into water, transferring that energy to the food.
 

Cups of Tea on Mount Everest 

 

The reverse is true for temperature and pressure. At high altitudes, ambient atmospheric pressure is reduced. So water boils at a lower temperature of 68 °C on Mount Everest, not so good if you like milky tea.