Question

5. A student is investigating the relationship between pressure,

temperature, and entropy. A student manages to obtain a sample of ice,

water, and water vapor that all coexist at the same temperature called

the triple point. Which will have the greatest entropy at the triple point?

Answer 1

The water vapor will have the greatest entropy at the triple point

Step-by-step explanation:

At the triple point of water, which has the properties of 0.0075°C temperature and 6.11657 mbar pressure, solid ice, liquid water and water vapor exist together in a location

According to Professor Stephen Lower on LibreTexts website entropy is a measure the extent to which thermal energy is shared and spread in a system

The change in entropy, ΔS = ΔH/T

The heat change in
`\Delta H_(melting)` = 6.01 kJ/mol

The heat change in vaporization,
`\Delta H_(vaporization)` = 45.05 kJ/mol

The heat change in sublimation,
`\Delta H_(sublimation)` = 51.06 kJ/mol

Therefore, the entropy of the water vapor
`S_(water \ vapor)}` > The entropy of liquid water,
`S_(Liquid \ water)` > The entropy of the solid ice,
`S_(Solid \, ice)`

The portion with the highest entropy at the triple point is the water vapor

The water vapor will have the greatest entropy at the triple point