P-T Graph of Water: Understanding Density & Expansion

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The discussion focuses on the unique density behavior of water compared to other substances, highlighting that water's liquid phase is denser than its solid phase due to its crystal structure. This is illustrated by the P-T graph, where the solid/liquid phase line for water slopes to the left, indicating that ice can melt under pressure without heat. The conversation also touches on carbon dioxide, explaining that its freezing curve slopes positively, meaning higher pressure raises the freezing point and makes solid formation more challenging. However, applying pressure to a block of ice can cause it to melt into liquid due to the denser state being available. Overall, the principles of density and phase transitions are crucial in understanding how pressure affects the state of substances like water and carbon dioxide.
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It explains it in the link a bit further down.

Normally the solid/liquid phase line slopes positively to the right (as in the diagram for carbon dioxide above). However for other substances, notably water, the line slopes to the left as the diagram for water shows. This indicates that the liquid phase is more dense than the solid phase. This phenomenon is caused by the crystal structure of the solid phase. In the solid forms of water and some other substances, the molecules crystalize in a lattice with greater average space between molecules, thus resulting in a solid with a lower density than the liquid. Because of this phenomenon, one is able to melt ice simply by applying pressure and not by adding heat.
 
So can I say at higher pressure what is more likely to form will be denser?
One thing I don't understand is let's say carbon dioxide, when we apply higher pressure, the freezing curve of CO2 slopes positively to the right , that means higher the pressure ,higher the freezing point, more difficult to form solid. Is this correct?
But I always think that we need high pressure so that we can easily change from gas to liquid then to solid.
 
Not exactly. Try to think of it in terms of Le Chatelier's principle. Imagine I take a block of ice just bellow melting point. Then I compress it. In other words, I raise pressure. Le Chatelier's principle tells me that system will try to resist the change. In other words, it will try to do something to reduce pressure. For example, it can go into a denser state if one is available. You can also see what happens based on PV diagram. If I increase pressure, temperature just bellow freezing becomes just above freezing. Ice melts. Combined with above it tells me that substance found a denser state, which happens to be liquid.

Higher freezing point means solid will form at higher temperature. It will be easier to make solid CO2 at higher pressure. What's more important is that if you start with a block of frozen CO2 at just bellow the freezing point and compress it, increasing pressure, you stay bellow freezing point. On the other hand, if you start with liquid CO2 just above freezing point, compressing it will put you bellow freezing point, meaning that in this case the solid is denser.
 
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