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To calculate the change in entropy (ΔS) for the vaporization of diethyl ether, we can use the equation:
ΔS = ΔH / T
where ΔH is the change in enthalpy (enthalpy of vaporization) and T is the temperature in Kelvin.
First, we need to convert the given temperature from Celsius to Kelvin:
T = 35°C + 273.15 = 308.15 K
Now we can plug in the values into the equation:
ΔS = 26.0 kJ/mol / 308.15 K
To get the value in J/mol·K, we convert kJ to J:
ΔS = 26000 J/mol / 308.15 K
Now we can solve for ΔS:
ΔS ≈ 84.32 J/mol·K
Therefore, the change in entropy (ΔS) for the vapor to liquid transition of diethyl ether at 35°C is approximately 84.32 J/mol·K.