High School

The molar heat of vaporization of ethanol is 39.3 kJ/mol, and the boiling point of ethanol is 78.3°C. Calculate [tex]\Delta S[/tex] for the vaporization of 0.30 mol of ethanol.

Answer :

Final answer:

The change in entropy for the vaporization of 0.30 mol of ethanol is calculated using the molar heat of vaporization and the boiling point. The result is ΔS = 33.54 J/K.

Explanation:

The question asks to calculate the change in entropy for the vaporization of 0.30 mol of ethanol, using the molar heat of vaporization (39.3 kJ/mol) and boiling point (78.3°C) of ethanol. The formula for calculating the change in entropy (ΔS) during vaporization is given by:

ΔS = ΔHvap / Tb

Where ΔHvap is the molar heat of vaporization and Tb is the boiling point in Kelvin. The change in entropy can be calculated using the following steps:

Finally, multiply by the number of moles: ΔS for 0.30 mol = 111.8 J/K·mol
0.30 mol = 33.54 J/K.

Therefore, the change in entropy for the vaporization of 0.30 mol of ethanol is 33.54 J/K.

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