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What is the heat of sublimation of iodine, given that it has a vapor pressure of 10 mmHg at -10°C and a normal boiling point of 184.35°C?

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To calculate the heat of sublimation of iodine, we can use the Clausius-Clapeyron equation, which relates the vapor pressure of a substance to its temperature and enthalpy change:ln P2/P1  = -Hsub/R *  1/T2 - 1/T1 Where:P1 and P2 are the vapor pressures at temperatures T1 and T2, respectivelyHsub is the heat of sublimationR is the gas constant  8.314 J/molK We are given:P1 = 10 mmHg  at T1 = -10C P2 = 760 mmHg  at T2 = 184.35C, the normal boiling point First, we need to convert the temperatures to Kelvin:T1 = -10C + 273.15 = 263.15 KT2 = 184.35C + 273.15 = 457.5 KNow we can plug the values into the Clausius-Clapeyron equation:ln 760/10  = -Hsub/8.314 *  1/457.5 - 1/263.15 Solving for Hsub:Hsub = -8.314 * ln 76  /  1/457.5 - 1/263.15 Hsub  62083 J/molThe heat of sublimation of iodine is approximately 62,083 J/mol.

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