HW Set No.1 Solutions - Homework Set No 1 ChE 317 Spring...

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Unformatted text preview: Homework Set No. 1 ChE 317 Spring 2010 1. . Thermal conductivity in the American Engineering system of units is: k z ___Bt”_ (hr)(fl2)(°F / ff) Change this to: k _ kJ _ (day)(m2)(°C/cm) 2. Water is flowing through a 6 inch internal diameter pipe with a velocity of 5 ft/ sec. a. What is the kinetic energy of the water in ft lbf/ 1bm ? b. What is the water flow rate in gal / min ? 3. Exam No. 1 Fall 2009 Problem No. 2 Transform the following equation: C G08 h = A 20.2 where A = 16.6 i ' c — heat ca acity as Btu ' G - mass velocity as 11”” p p bmF , ft2 sec . ' BTU . . . . h = heat transfer coefi‘z‘czent as h ftzF , D = 1nternal dlameter of pipe as inches r To: C! G108 h = A' 302 0'}, = heat capacity as kcal ; G'= mass velocity as 5g kgC m sec kcal h'= heat transfer coeflz‘cient as , D’ = internal diameter of pipe as cm hr mZC 4. The following empirical equation correlates the values of variables in a system in which solid particles are suspended in a flowing gas: k d 1/3 d 1/2 g Py =2.0+0.60[i] [ Pup] ,u d u Both [ADJ and [ p ,0) are dimensionless groups; kg is a coefficient that expresses the P I” rate at which a particular specifies transfers from the gas to the solid particles; and the coefficient 2.0 and 0.60 are dimensionless constants obtained by fitting experimental data covering a wide range of equation variables and experimental conditions. The value k3 is needed to design a catalytic chemical reactor. Since this coefficient is difficult to determine directly, values of the other variables are measured or estimated and kg is calculated for the given correlation. The variable values are as follows. dp = 5.0 mm y = 0.100 dimensionless D = 0.100 cmz/ s u=1.00X10'5N-s/m2 p= 1.00X 10'3g/cm3 u= 10.0 m/s a) What is the estimated value of kg (Give its value and units) b) Create a spreadsheet in which up to five sets of values of the given variables (dp through u) are entered in columns and the corresponding values of kg are calculated. Test your program using the following variable sets: (i) the values given above, (ii) as above, only double the particle diameter dp (making it 10.00 mm), (iii) as above only double the diffusivity D, (iv) as above, only double the viscosity u, (v) as above, only double the velocity u. Report all five calculated values of kg. 5. The density of a fluid is given by an empirical equation: p = 70.5exp (8.27 X 10'7 P) where p = density (lbm/ft3) and P is pressure (lbg’inz) a) What are the units of 70.5 and 8.27 X 10”. b) Calculate the density in g/cm3 for a pressure of 9.00 X 106 N/mz. c) Derive a formula for p (g/cma) as a function of P (N/mz). Check your result using your solution from part b. 6. Convert the following: a) 4 g mol of MgClz to g. b) 2 lb mol of C3Hg to g c) 16 g osz to 1b mol d) 3 1b of C2I160 to g mol 7. A mixture is 10.0 mole % ethyl alcohol, 75.0 mole % ethyl acetate (C4H302) and 15.0 mole % acetic acid. Calculate the mass fractions of each compound. What is the average molecular weight of the mixture ? What would be the mass (kg) of a sample containing 25.0 kmol of ethyl acetate ? 8. At 25° C an aqueous solution containing 35 wt% H2804 has a specific gravity of 1.2563. A quantity of the 35 % solution is needed that contains 195.5 kg of H2804 a) Calculate the required volume (Liters) of the solution using the given specific gravity. b) Estimate the error that would have resulted if pure-component specific gravities of H2804 (SG = 1.8255) and water had been used for the calculation instead of the given specific gravity of the 35 wt% mixture. 9. The Fred and Barney oil company’s tanker captain has just run their tanker full of 5 °API crude oil aground in 60 F ocean water. The Coast Guard spill response team shows up with oil isolation buoys which they float on the ocean surface to trap the spill. Will they be successful incontaining the oil? 10. A gas mixture of methane and air is capable of being ignited only if the mole percent of methane is between 5.0 % and 15.0 %. A mixture containing 9.0 mole % methane in air flowing at a rate of 700 kg/hr is to be diluted with pure air to reduce the methane concentration to the lower flammability limit. 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