A researcher estimates for dissolving carbon dioxide in ethanol by adding the…

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

Problem

A researcher estimates ΔGdiss∘\Delta G^{\circ}_{\text{diss}} for dissolving carbon dioxide in ethanol by adding the gas–phase enthalpy of mixing to the translational entropy of the solute molecules and obtains a strongly negative value. Experimental data, however, show the process is only mildly favorable. Which of the following critiques of the researcher’s approach is most valid? (a) The translational entropy of a gas is always zero at 298 K298\,\text{K}, so including it exaggerates the entropy term. (b) Because dissolution occurs at constant pressure rather than constant volume, the researcher should have used ΔU\Delta U instead of ΔH\Delta H in calculating ΔG∘\Delta G^{\circ}. (c) The calculation ignores specific solvent–solute interactions, such as hydrogen bonding, that can offset the favorable translational entropy. (d) Gas–phase enthalpies are inherently smaller in magnitude than solution-phase enthalpies, so they should have been multiplied by the dielectric constant of ethanol.

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