All Problems

Phase Transformations

Problem 2.211

An ice which was initially under standard conditions was compressed up to the pressure \(p=640\) 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 \(\Delta V^{\prime}=0.09 \mathrm{~cm}^{3} / \mathrm{g}\).

Reveal Answer
2.211. \(\eta \approx c p T \Delta V^{\prime} / q^{2}=0.03\), where \(c\) is the specific heat canacity of ice. \(T \approx 273 \mathrm{~K}, q\) is the specific heat of melting.