Assignment 2017 Physical Chemistry 1 Exercise 1: For sublimation of carbon dioxide At 1 bar and a) Calculate how the heat added by sublimation of 100 g of when the process happens at constant pressure...

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Assignment 2017 Physical Chemistry 1 Exercise 1: For sublimation of carbon dioxide At 1 bar and a) Calculate how the heat added by sublimation of 100 g of when the process happens at constant pressure and (answer is ) b) Calculate the heat added by sublimation of 100 g of when the process happens in a closed container at constant volume and . Assume that it’s an ideal gas and neglect the volume of the solid phase (answer is ) c) Calculate the temperature when the two phases are equivalent, the pressure of is (answer is T=129.6 K) Exercise 2: The molar entropy of at and 1 atm is . At 1 atm boils at 77.32 K with . The molar heat capacities for liquid and gaseous are and . Heat capacities are assumed to be independent from temperature and the gas is assumed to be ideal. a) Calculate the molar entropy for at and 1 atm (answer ) b) Calculate the molar entropy for at and 0.5 atm. Please notice that the change from a) can be seen as a composite process where the substance first has a change in temperature then a change in pressure at constant temperature (answer ) 1 mol of at and 0.5 atm is compressed to 50L in a reversible and adiabatic process. c) Calculate the temperature and pressure after the compression (answer ) d) Calculate the change in internal energy, , change in enthalpy, , the added heat, , and the work, , for the compression (answer ) e) Calculate the molar entropy for the compression (answer ) Exercise 3: Differential changes in volume due to differential changes in temperature and pressure: is the expansion coefficient, is the isothermal compressibility. Constant pressure with change in temperature to and change in volume to . a) Deduce an expression for for an ideal gas (answer) b) Deduce an expression for for a liquid where alpha can depend on the temperature (answer with integration from to ) c) Estimate the increase of the world’s oceans if there’s a temperature increase of 2C. It might be useful that for liquid water, and with the current temperature the volume of the oceans is with a surface area of . Assume that the surface area is constant. (answer ) Exercise 4: 2 moles of a monatomic ideal gas with the molar heat capacity of Cvsnv goes through a process consisting of these 3 steps: 1) The gas expands isothermally to a final pressure of 5.0 atm 2) After step 1 it expands adiabatically to a final pressure of 4.0 atm 3) After step 2 it is heated at constant volume until the final temperature of 500 K All steps are reversible and initial temperature is 500 K and initial pressure is 6.0 atm a) Calculate , , for step 1 (answer ) b) What is the temperature and volume after step 2? Calculate for step 2. (answer ) c) Calculate , , for step 3 (answer ) d) Calculate the change in enthalpy, , change in entropy, and for all of the steps