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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?

Sagot :

Answer:

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

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 [tex]\Delta H_{melting}[/tex] = 6.01 kJ/mol

The heat change in vaporization, [tex]\Delta H_{vaporization}[/tex] = 45.05 kJ/mol

The heat change in sublimation, [tex]\Delta H_{sublimation}[/tex] = 51.06 kJ/mol

Therefore, the entropy of the water vapor [tex]S_{water \ vapor}}[/tex] > The entropy of liquid water, [tex]S_{Liquid \ water}[/tex] > The entropy of the solid ice, [tex]S_{Solid \, ice}[/tex]

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