Chemistry

Chemistry

Problem

Iodine undergoes the following phase changes at 184 °C: • solid → liquid, molar enthalpy 15.5 kJ mol⁻¹ • liquid → gas, molar enthalpy 41.6 kJ mol⁻¹ A chemist plans to convert a 50.0 g sample of solid iodine at 184 °C directly to gaseous iodine at the same temperature and later allow the vapor to deposit back to solid. (a) Determine the molar enthalpy for the overall direct solid-to-gas transition (sublimation) of iodine at 184 °C. Include the correct sign. (b) Calculate the total heat, in kJ, required to sublime the 50.0 g sample of iodine at 184 °C. (c) After sublimation, the gaseous iodine is allowed to deposit fully back to the solid at 184 °C. Quantitatively compare the heat change for deposition to that for sublimation and explain how this comparison illustrates the principle of energy conservation in phase transitions.

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