A 0.50 mol sample of liquid ethanol at 25 °C is converted to superheated ethanol…

CHEMISTRY · Single correct · A Level · Chemistry · Thermodynamics · Thermodynamics

Problem

A 0.50 mol sample of liquid ethanol at 25 °C is converted to superheated ethanol vapor at 95 °C and 1 atm by two different routes. Route I: (a) Reduce the external pressure so the ethanol vaporizes at 25 °C; (b) heat the vapor from 25 °C to 95 °C at 1 atm. Route II: (a) Heat the liquid from 25 °C to 78 °C at 1 atm; (b) vaporize the ethanol at 78 °C and 1 atm; (c) heat the vapor from 78 °C to 95 °C at 1 atm. Which statement is true concerning the entropy change of the ethanol, ΔS₍ethanol₎, for the two routes? (a) ΔSethanol\Delta S_{\text{ethanol}} is larger for Route I because vaporisation occurs at a lower temperature, and ΔS=qrevT\displaystyle \Delta S = \frac{q_{\text{rev}}}{T} is greater when TT is lower. (b) ΔSethanol\Delta S_{\text{ethanol}} cannot be determined without knowing ΔHvap\Delta H_{\text{vap}} at both 25∘C25^{\circ}\text{C} and 78∘C78^{\circ}\text{C}. (c) ΔSethanol\Delta S_{\text{ethanol}} is identical for both routes because entropy depends only on the initial and final states. (d) ΔSethanol\Delta S_{\text{ethanol}} is larger for Route II because warming the liquid before it vaporises supplies additional heat that increases entropy.

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