How Deep Would the Mariana Trench Need to Be for Ice VII to Form?

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To form ice VII, an ocean would need to reach a pressure of 3 GPa, which is significantly higher than the 110 MPa pressure at the bottom of the Mariana Trench. Calculations suggest that the Mariana Trench would need to be approximately 27 times deeper to achieve the necessary pressure for ice VII formation. This assumes a constant temperature of 20°C and does not account for the compressibility of seawater. The discussion highlights the need for precise measurements in depth and pressure when considering such phenomena. Overall, the Mariana Trench is far too shallow for ice VII to form under current conditions.
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Homework Statement


**This thread could also belong to the chemistry forum**
*This isn't an actual homework problem, but it is a simple question, so I put it here in the homework forum. I am under the impression that the physics forum is for more advanced questions*
How deep would an ocean on Earth have to be for ice VII to form? It forms under 3 GPa of pressure at room temperature (20 C).

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The Attempt at a Solution


I am only asking this question because I am curious how the Mariana Trench compares. At the bottom of the Mariana Trench, the pressure is 110 MPa. ## \frac {3} {t} = \frac{3GPa}{110MPa} ## = 27.27. So the Mariana Trench needs to be 27 times deeper. Is this correct (if the temperature is assumed to be a constant ?
 
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Give or take corrections for compressibility of sea water, looks good enough. Depth of Mariana Trench isn't a particularly standard unit of length, so you might consider turning that into meters or kilometers, but that's nitpicking.
 
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