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Phase Transformations

Problem 2.211

An ice which was initially under standard conditions was compressed up to the pressure p=640p=640 atm. Assuming the lowering of the ice melting temperature to be a linear function of pressure under the given conditions, find what fraction of the ice melted. The specific volume of water is less than that of ice by ΔV′=0.09 cm3/g\Delta V^{\prime}=0.09 \mathrm{~cm}^{3} / \mathrm{g}.

Reveal Answer
2.211. η≈cpTΔV′/q2=0.03\eta \approx c p T \Delta V^{\prime} / q^{2}=0.03, where cc is the specific heat canacity of ice. T≈273 K,qT \approx 273 \mathrm{~K}, q is the specific heat of melting.
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