A student plots (in kJ mol⁻¹) versus for a reaction at an unknown constant…

CHEMISTRY · Single correct · AP · Chemistry · Thermodynamics and Electrochemistry · Thermodynamics and Electrochemistry

Problem

A student plots ΔG∘\Delta G^{\circ} (in kJ mol⁻¹) versus ln⁡K\ln K for a reaction at an unknown constant temperature and records two points: (ln⁡K=0.50,  ΔG∘=−1.23 kJ mol−1)(\ln K = 0.50,\; \Delta G^{\circ} = -1.23\,\text{kJ mol}^{-1}) and (ln⁡K=2.00,  ΔG∘=−4.92 kJ mol−1)(\ln K = 2.00,\; \Delta G^{\circ} = -4.92\,\text{kJ mol}^{-1}). Assuming ideal behavior, which temperature is most consistent with these data? (R=8.314 J mol−1 K−1R = 8.314\,\text{J mol}^{-1}\,\text{K}^{-1}) (a) 150 K150\ \text{K} (b) 600 K600\ \text{K} (c) 300 K300\ \text{K} (d) 1200 K1200\ \text{K}

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