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Lavelle was explaining how getting burned by steam is more severe than getting burned by boiling water. This is because when steam (water in gas form) hits your skin, it undergoes a phase change to become a liquid. This phase change as the steam hits your skin and becomes liquid releases energy, causing damage to that spot.
Dr. Lavelle was saying that if you look at the heating curve of water, you will notice a transition between the phase changes of water. It starts off as solid ice and as it is heated, the temperature of the solid rises to form water. The transition between ice and water is called the melting point and similarly, the transition between water and water vapor is called the boiling point. The reason why steam causes severe burns is that its enthalpy of vaporization is quite high.
As the latent heat of vaporization is very high, the amount of energy released when steam is condensed is much higher than the amount of energy released when boiling water is cooled, therefore the burn will be much more significant.
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