As mentioned in the previous slide, when the water begins to be heated by  magma, the temperature increases above the boiling point at which it would normally boil on Earth’s surface, but it still does not boil. We will now expand on this topic. If you look on the right hand side of this page, you will see the phase diagram of water. A phase diagram is used to show what phase (solid, liquid, or gas) a specific element or compound will be in depending on its current temperature and pressure (Knight, Chapter 16.4). To complete this explanation, there is one more thing that we need to consider: the concept of energy.
        Energy can come in many forms. In our situation we will only be talking about energy in the form of heat and how that affects the water’s temperature and pressure. If you look at the atomic level, temperature is the average kinetic (motion) energy of the system you are measuring, and if you add energy to atoms you cause them to move around faster. To simplify the explanation of a geyser, we are going to consider the space where the water is located to be at a constant volume, meaning that there will be no change in the amount of water in the geyser.
        As we just discussed, adding energy to our system increases the average kinetic energy of all the atoms in the geyser. When the temperature increases the pressure inside of the geyser also increases. This can be concluded by looking at what causes pressure on the atomic level. Pressure is actually caused by the individual atoms and molecules colliding with the inside wall of the geyser. More collisions cause a higher pressure and likewise, a lower amount of collisions will cause a lower pressure. Since the particles are moving faster from the energy being added by the hot rocks, there are going to be more collisions with the inside of the geyser chamber, which causes an increase in the overall pressure. By looking at the phase diagram you can see an approximated purple line that shows an estimate of the path the water might take to becoming steam. This is what causes the geyser to erupt.

State Diagram of Water

Source: http://www.akitarescueoftulsa.com/carbon-phase-diagram-of-atm/