A. Calculate the mass flux (kg/m2s)of gaseous material t
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A. Calculate the mass flux (kg/m2s)of gaseous material through a leak assuming that the material is stored at its vapor
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A. Calculate the mass flux (kg/m2s)of gaseous material through a leak assuming that the material is stored at its vapor pressure within the vessel (9.5 x lo5Pa abs). Assume that the material is stored at 25OC, that it is discharged to 1atm pressure, and that its molecular weight is 44. b. Calculate the mass flux (kg/m2s)of two-phase material through the same leak under the same conditions of part a. Assume that the discharge length is greater than 10cm. Additional physical property data are: Heat of vaporization: 3.33 X lo5Jlkg vf,: 0.048 m3/kg Heat capacity of liquid: 2.23 X lo3J/kg K Heat capacity of vapor: 1.70 X lo3Jlkg K c. Comment on the difference in flux rates between parts a and b. In general, relief systems designed for two-phase flow must be larger than those for all-vapor flow. Is this consistent with the results of parts a and b? Why? d. Calculate the energy discharge rate for the discharge of part a. Assume that the energy content of the vapor is due to the heat of vaporization of the liquid to gas. e. Calculate the energy discharge rate for the discharge of part b. Assume that the energy is due to the sensible heat increase of the two-phase discharge stream and that the temperature of the discharge is 10K higher. f. Compare the results of parts d and e. How many times larger must the area of the twophase discharge be in order to remove energy at the same rate as the single-phase relief? Comment on the implications for relief systems on reactor vessels.
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