Metal films can be doped with sulfur to improve their material properties. In the following problem, we will explore the phase behavior of sulfur (S). In the solid and liquid phases, sulfur exists as a monoatomic element. In the vapor phase, sulfur exists as an Ss complex. The following data are available: Molecular weight of S: 32g/mol Molecular weight of S8: 256g/mol Melting point of sulfur at atmospheric pressure: 115C Heat of melting of S (Hm):1727J/mol Density of liquid sulfur (S): 1.82g/cm3 Density of solid sulfur (S): 1.96g/cm3 Vapor pressure of liquid sulfur (in atm): lnP=T8031+11.068 where T[=]K. A. Calculate the melting point of sulfur at pressures of two and twenty atmospheres. Based on your answers, is the melting point of sulfur sensitive to pressure? B. 3mg of solid sulfur is placed inside a test tube that has a volume of 1dm3. The air inside the tube is then pumped out, placing the contents of the tube under high vacuum. The test tube is then sealed and placed inside a hot oven. At what temperature will the sulfur melt? C. Let's say the oven has a constant temperature of 200C. When the sulfur reaches thermal equilibrium, what will be the pressure inside the tube? What phases will be present? How many grams of sulfur will be in each phase? D. If 3mg of sulfur were heated under open atmosphere (i.e., one atmosphere), what would its evaporation temperature be? Is this value dependent on the mass of the sulfur? Metal films can be doped with sulfur to improve their material properties. In the following problem, we will explore the phase behavior of sulfur (S). In the solid and liquid phases, sulfur exists as a monoatomic element. In the vapor phase, sulfur exists as an Ss complex. The following data are available: Molecular weight of S: 32g/mol Molecular weight of S8: 256g/mol Melting point of sulfur at atmospheric pressure: 115C Heat of melting of S (Hm):1727J/mol Density of liquid sulfur (S): 1.82g/cm3 Density of solid sulfur (S): 1.96g/cm3 Vapor pressure of liquid sulfur (in atm): lnP=T8031+11.068 where T[=]K. A. Calculate the melting point of sulfur at pressures of two and twenty atmospheres. Based on your answers, is the melting point of sulfur sensitive to pressure? B. 3mg of solid sulfur is placed inside a test tube that has a volume of 1dm3. The air inside the tube is then pumped out, placing the contents of the tube under high vacuum. The test tube is then sealed and placed inside a hot oven. At what temperature will the sulfur melt? C. Let's say the oven has a constant temperature of 200C. When the sulfur reaches thermal equilibrium, what will be the pressure inside the tube? What phases will be present? How many grams of sulfur will be in each phase? D. If 3mg of sulfur were heated under open atmosphere (i.e., one atmosphere), what would its evaporation temperature be? Is this value dependent on the mass of the sulfur
