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Calculations in Chapter 10
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Molar Enthalpy of Fusion Used when melting or freezing = ___energy ____ mol of substance Can be arranged to find any of the three Units for molar enthalpy of fusion will be kJ/mol and units for energy is kJ or J, (kilojoules or joules)
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Example Problem The molar heat of fusion for water is 6.009 kJ/mol. How much energy is needed to convert 60.0 g of ice at 0°C to liquid water at 0°C? Rearrange the formula for energy Energy = mol of substance
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Have to convert the 60.0 g of ice to mol Divide by the molar mass of water 60.0 g/ 18.016 g/mol = 3.330373002 mol H 2 O (s) Energy = 6.009 kJ/mol 3.330373002 mol H 2 O (s) = 20.01221137 kJ 20.0 kJ needed to convert 60.0 g of ice at 0°C to liquid water at 0°C
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Molar Enthalpy of Vaporization Used when boiling or condensing = energy mol of substance Can be arranged to find any of the three Boiling has energy required, condensing gives off energy
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Example Problem How much heat is evolved when 275 g of ammonia gas condenses to a liquid at its boiling point? The molar enthalpy of vaporization for ammonia is 23.3 kJ/mol Have to convert the g of ammonia to mol of ammonia 275 g/ 17.034 g/mol = 16.14418222mol
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Rearrange the formula for energy evolved Energy = mol of substance Energy = 23.3 kj/mol 16.14418222mol Energy = 376.1594458 kJ Energy = 376 kJ
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Another Problem What mass of steam is required to release 4.97 x 10 5 kJ of heat energy on condensation? The molar enthalpy of vaporization for water is 40.79 kJ/mol First rearrange to solve for mol Solve for mol Multiply by the molar mass to find grams Answer: 2.20 x 10 5 g H 2 O
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