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1. A liquefied gas mixture has the following molar composition: 93.5% CH4, 4.6% C2H6, 1.2% C3H8, and 0.7% CO2. Calculate: a) Average molecular weight of the LNG mixture (b) Weight fraction of CH4 in the mixture (c) The gas mixture is heated to 300 K and 150 kPa, and vaporizes completely. Estimate the density of the gas mixture under these conditions

1. A liquefied gas mixture has the following molar composition: 93.5% CH4, 4.6% C2H6, 1.2% C3H8, and 0.7% CO2. Calculate: a) Average molecular weight of the LNG mixture (b) Weight fraction of CH4 in the mixture (c) The gas mixture is heated to 300 K and 150 kPa, and vaporizes completely. Estimate the density of the gas mixture under these conditions

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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assignment remaining pr. Assignment problem: Cont. 1. A liquefied gas mixture has the following molar composition: 93.5% CH4, 4.6% C2H6, 1.2% C3H8, and 0.7% CO2. Calculate: a) Average molecular weight of the LNG mixture (b) Weight fraction of CH4 in the mixture (c) The gas mixture is heated to 300 K and 150 kPa, and vaporizes completely. Estimate the density of the gas mixture under these conditions 2. A gas stored in a 30 m3 container at 340 K and 101.3 kPa is saturated with water vapor. Partial pressure of water vapour is 27.35 kPa. Determine the following of the gas mixture: a) Mole fraction of water vapor b) Average molecular weight of the mixture c) Total mass contained in the tank d) Mass of water vapor in the tank 3. NH3 is being absorbed from an NH3 (A)-air (B) mixture in H2SO4. The concentration of NH3 in the air, 10 mm from the acid surface is 40% by volume and that at the acid surface is negligible. The total pressure in the system is 400 mm Hg and temperature is 270C. Calculate (a) the rate of absorption of NH3 across 0.1 m2 gas liquid contact area, (b) the partial pressure gradient of NH3 at 4 mm from the acid surface, (c) the rate of mass transfer of NH3 by molecular transport and that by bulk flow at the acid side end of the film, and (d) the rate of mass transfer of NH3 by molecular transport and that by bulk flow at the gas side end of the film. Given: (DAB×P)/T1.5=Constant; DAB Of NH3 at 1 atm. and 600C is 2.53x10-5 m2/s. 4. Equimolar counter-diffusion of A and B occurs between points 1 (yA1=0.3) and 2 (YA2=0.1) through a distance of 1 cm. Total pressure is 1 atm, temperature is 250C and diffusivity is 0.2 cm2/s. What is the "diffusion velocity" of "A" halfway in the diffusion path? 5. An ethanol (A)-water (B) solution in the form of a stagnant film 2.0 mm thick at 293 K is in contact at one surface with an organic solvent in which ethanol is soluble and water is insoluble. Hence NB = 0. At point 1, the concentration of ethanol is 16.8 wt% and the solution density is 972.8 kg/m3. At point 2, the concentration of ethanol is 6.8 wt% and density is 988.1 kg/m3.The diffusivity of ethanol is 0.740 × 10-9 m2/s. Calculate the steady state flux NA. 6. Why are k-type mass transfer coefficients for very dilute solutions more significant than F-type mass transfer coefficients? 7. Derive the relationship between the overall mass transfer coefficient and individual mass 1 1 %3D K. transfer coefficients as ky Assume the equilibrium-distribution represent a straight line. The notations imply their usual meanings.
Transcribed Image Text:assignment remaining pr. Assignment problem: Cont. 1. A liquefied gas mixture has the following molar composition: 93.5% CH4, 4.6% C2H6, 1.2% C3H8, and 0.7% CO2. Calculate: a) Average molecular weight of the LNG mixture (b) Weight fraction of CH4 in the mixture (c) The gas mixture is heated to 300 K and 150 kPa, and vaporizes completely. Estimate the density of the gas mixture under these conditions 2. A gas stored in a 30 m3 container at 340 K and 101.3 kPa is saturated with water vapor. Partial pressure of water vapour is 27.35 kPa. Determine the following of the gas mixture: a) Mole fraction of water vapor b) Average molecular weight of the mixture c) Total mass contained in the tank d) Mass of water vapor in the tank 3. NH3 is being absorbed from an NH3 (A)-air (B) mixture in H2SO4. The concentration of NH3 in the air, 10 mm from the acid surface is 40% by volume and that at the acid surface is negligible. The total pressure in the system is 400 mm Hg and temperature is 270C. Calculate (a) the rate of absorption of NH3 across 0.1 m2 gas liquid contact area, (b) the partial pressure gradient of NH3 at 4 mm from the acid surface, (c) the rate of mass transfer of NH3 by molecular transport and that by bulk flow at the acid side end of the film, and (d) the rate of mass transfer of NH3 by molecular transport and that by bulk flow at the gas side end of the film. Given: (DAB×P)/T1.5=Constant; DAB Of NH3 at 1 atm. and 600C is 2.53x10-5 m2/s. 4. Equimolar counter-diffusion of A and B occurs between points 1 (yA1=0.3) and 2 (YA2=0.1) through a distance of 1 cm. Total pressure is 1 atm, temperature is 250C and diffusivity is 0.2 cm2/s. What is the "diffusion velocity" of "A" halfway in the diffusion path? 5. An ethanol (A)-water (B) solution in the form of a stagnant film 2.0 mm thick at 293 K is in contact at one surface with an organic solvent in which ethanol is soluble and water is insoluble. Hence NB = 0. At point 1, the concentration of ethanol is 16.8 wt% and the solution density is 972.8 kg/m3. At point 2, the concentration of ethanol is 6.8 wt% and density is 988.1 kg/m3.The diffusivity of ethanol is 0.740 × 10-9 m2/s. Calculate the steady state flux NA. 6. Why are k-type mass transfer coefficients for very dilute solutions more significant than F-type mass transfer coefficients? 7. Derive the relationship between the overall mass transfer coefficient and individual mass 1 1 %3D K. transfer coefficients as ky Assume the equilibrium-distribution represent a straight line. The notations imply their usual meanings.
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