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The molar heats of fusion and vaporization of argon are 1.3 kJ/mol and 6.3 kJ/mol respectively, and argon's melting point and boiling point are -190°C and -186 °C, respectively. Calculate the entropy changes for the fusion and vaporization of argon.

Respuesta :

Answer:

The entropy changes for the fusion and vaporization of argon is 15.634 J/mol K and 72.289 J/mol K respectively.

Explanation:

The molar heats of fusion =[tex]\Delta H_{fus}= 1.3 kJ/mol[/tex]

Melting point of argon = -190°C = 83.15 K

Entropy changes for the fusion = [tex]\Delta S_{fus}[/tex]

[tex]\Delta S_{fus}=\frac{\Delta H_{fus}}{83.15 K}=\frac{1.3 kJ/mol}{83.15 K}=0.015634 kJ/mol K=15.634 J/mol K[/tex]

The molar heats of vaporization of argon = [tex]\Delta H_{vap}=6.3 kJ/mol[/tex]

Boiling point of argon = -186°C = 87.15 K

Entropy changes for the vaporization= [tex]\Delta S_{vap}[/tex]

[tex]\Delta S_{vap}=\frac{\Delta H_{vap}}{87.15K}=\frac{6.3 kJ/mol}{87.15 K}=0.072289kJ/mol K=72.289 J/mol K[/tex]