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A packed bed is composed of cubes 0.02 m on a side and the bulk density of the packed bed is 980 kg/m3. The density of the solid cubes is 1500 kg/m3. The porosity, ξ is
The feed to a cooling crystallizer is 1000lb/h at 120°F. The solution is cooled to 70°F. It has a 3 ft2 of cooling surface per foot of running length of crystallizer. The required rate of heat transfer is 44,900 Btu/h. Cooling will be provided by a countercurrent flow of chilled water entering the cooling jacket at 60°F and leaving at 85°F. The overall heat transfer coefficient, U, is expected to be 20 Btu/h-ft2°F. The length of the crystallizer is
A 10,000 lb batch of a 32.5% MgSO4 solution at 120°F is cooled without appreciable evaporation to 70° At 70°F the concentration of solids is 26.3 lb MgSO4 per 100 lb solution. Assuming that the mother liquor leaving is saturated, the mass of MgSO47H2O crystals that will be formed is
Liquid-liquid extraction schemes practiced in industry may be categorized into a number of several types, what extraction scheme uses
dissociation extraction concepts to recover and purify ionizable organic solutes in and forward-and-back extraction scheme?
An aqueous solution of acetic acid is to be extracted with isopropyl ether. The solution contains 24.6 kg of acetic acid and 80 kg of
H2O. Water and isopropyl ether may be considered as completely immiscible under these conditions. At the temperature of the
extraction, the following equilibrium data apply:
| kg acetic acid/kg isopropyl ether | 0.03 | 0.046 | 0.063 | 0.07 | 0.078 | 0.086 |
| kg acetic acid/kg H2O | 0.1 | 0.15 | 0.2 | 0.22 | 0.28 | 0.26 |
If 100 kg of isopropyl ether is added to the solution, the weight of acetic acid that will be extracted by isopropyl ether if equilibrium conditions are attained is
Urea is to be crystallized from an aqueous solution that is 90% saturated at 100°C. Ninety percent (90%) of the urea is to be crystallized
in anhydrous form and the final temperature is to be 30°C. The solubility of urea in water at 100°C and 30°C are 730 g per 100 g water
and 135 g per 100 g water respectively. Taking as a basis 1000 kg of feed, the fraction of water that must be evaporated is
The change in enthalpy per unit weight of gas adsorbed on gas free or degassed adsorbent to form a definite concentration of adsorbate is called its
A separation process in which a liquid mixture contacts a non-porous perm-selective membrane and one component is transported through the membrane preferentially is called
An acetaldehyde-toluene solution containing 6% acetaldehyde by weight is being treated with water in a three stage co-current extraction
battery to remove acetaldehyde. Water and toluene are completely immiscible and the equilibrium distribution of acetaldehyde between
them is given by the relation: Y = 2.2 X
where: Y = kg acetaldehyde per kg water and X = kg acetaldehyde per kg toluene
If 60 kg water is used in each stage per 100 kg of feed, the percentage acetaldehyde extracted is
Formation of large crystals is favored by
An extractor that can facilitate a liquid-liquid extraction process by reducing diffusion path lengths and increasing the driving force for liquid-liquid phase separation. It can achieve a very high specific throughput with very low liquid residence time.
Zinc is to be recovered from an ore containing zinc sulfide. The ore is first roasted with oxygen to produce zinc oxide, which is then leached with aqueous sulfuric acid to produce water soluble zinc sulfate and an insoluble, worthless residue called gangue. The decanted sludge of 20,000 kg/h contains 5 weight % water, 10 weight % zinc sulfate and the balance as gangue. This sludge is to be washed with water in a continuous countercurrent washing system to produce an extract, called a strong solution, of 10 weight % zinc sulfate in water with a 98 % recovery of the zinc sulfate. Assume that the underflow from each washing stage contains, by weight, two parts of water (sulfate-free basis) per part of gangue, the number of stages required is
With the lowering of equilibrium pressure at a given temperature, the amount of adsorbate on adsorbent
Partition ratios can be particularly sensitive to temperature when mutual solubility between the feed and extraction solvent involves hydrogen bonding. An interesting example is the extraction of citric acid from water using 1-butoxy-2-propanol as a solvent. Its partition ration at a temperature of 80°C is
The following equilibrium relationship was obtained during the treatment of an aqueous solution of a valuable solute by decolorizing carbon for removal of coloring impurities: Y = 8.91 x 10-5 X1.66
where X = adsorbate concentration per kg of carbon and Y = equilibrium color units per kg of solution measured on an arbitrary scale proportional to the concentration of the colored impurity. It is proposed to reduce the color of the solution to 20% of its original value of 9.0. The quantity of fresh carbon required per 100 kg of the solution in single stage operation is
The mutual solubility of two salts can be plotted on the X and Y axes with temperatures as isotherm lines. If both solid-phase KCl and NaCl are present, the solution composition at equilibrium can only be represented by the invariant point (at constant pressure).
The solubility ratios in parts per 100 parts water of KCl and NaCl at 40°C are:
Particles having a size of 0.10 mm, a shape factor of 0.86 and a density of 1200 kg/m3 are to be fluidized using air at 25°C and 202.65 kPa absolute pressure. Air has a density of 2.374 kg/m3 and viscosity of 1.845 x 10-5 Pa-s at 25°C and 202.65 kPa.
The void fraction at minimum fluidizing conditions is 0.43. The bed diameter is 0.60 m and the bed contains 350 kg of solids. The minimum velocity for fluidization is
For economy in liquid extraction, the partition ratio (or distribution coefficient) must be
It is desired to extract aniline from water using toluene as extraction solvent at 25°C. The partition ratio is
Rate of leaching increases with increasing
A type of fluidization where the fluidized bed resembles a liquid with rising gas bubbles and a sedimentation velocity higher than the bulk of bed with hindered sedimentation.
A method for the determination of specific surface of a granular material, based on measurement of adsorption of a neutral gas at low temperature
A crystallizer that is characterized by the production of supersaturation in a circulating stream of liquor is
A counter-current leaching equipment is to be used to extract NaOH from a feed consisting of 80 kg NaOH, 400 kg water and 100 kg CaCO3 using water as solvent. The final extract solution will contain 10% NaOH with the recovery of 95% of the NaOH. Setting the underflow constant at 3.0 kg solution per kg CaCO3, the number of ideal stages required is
The data on a leaching system show that the locus of the underflow compositions is a straight line and passes through the vertex representing the solute. Which of the following statement is true?
A tower having a diameter of 0.1524 m is being fluidized with water at 20.2°C. Water at 20.2°C has a density = 997.5 kg/m3 and viscosity = 1 x 10-3 Pa-s. The uniform spherical beads in the tower bed have a diameter of 4.42 mm and a density of 1603 kg/m3. The minimum fluidizing velocity is
Two hundred cubic centimeters of an acetone-water mixture that contains 10 wt% acetone are mixed with 400 cm3 of chloroform at 25°C, and the phases are allowed to settle. What percentage of the acetone is transferred from the water to the chloroform?(Densities of acetone, chloroform and water in g/cc are 0.792, 1.489 and 1.0 respectively and k = 1.83)
Consider a 200 kg/h feed stream containing 20 wt.% acetic acid in water that is to be extracted with 400 kg/h of recycle MIBK that contains 0.2 wt.% acetic acid and 0.02 wt.% water. The aqueous raffinate is to be extracted down to 2 wt.% acetic acid. Using Kremser-Souders-Brown (KSB) equation, the number of theoretical stages that will be required assuming that m’ = 0.656 and E = 1.85 is
Ten kg of a solid containing 45% of a soluble material were treated with 15 kg of a solvent containing the same solute at 2% concentration in a vessel under constant agitation. After a long time, the solution and solid were separated by pressing. The solid analyzed contain 0.8 kg of solvent per kg of inert solid. The extract quantity obtained in kg was therefore
In a determination of solution retention data, the mass fraction of the solute in the extract was determined to be 0.6. The corresponding underflow analysis showed a retention of 0.6 kg solvent per kg of the inert solid. The mass fraction of the solute in the underflow is most likely
In ternary liquid equilibria, the apex of the equilateral triangular diagram represents
Which of the following changes causes a Type II liquid-liquid system to become a Type I system?
In liquid-liquid extraction, if the selectivity (or relative separation) is unity, then
The following tie line data were obtained for a ternary system of solute B, extract solvent S and raffinate solvent A at a temperature of 25 °C.
| Raffinate Layer, Weight % | Extract Layer, weight% | |
| B | 35 | 52.5 |
| S | 57.5 | 24.6 |
| A | 7.5 | 22.9 |
The selectivity at this tie line is very nearly
We wish to extract nicotine from water using kerosene. If we have 100 kg of 2% nicotine solution extracted once with 200 kg kerosene, what percentage of the nicotine will be extracted? Given that at equilibrium: y,(kg nicotine)/(kg kerosene) = 0.9 x,(kg nicotine)/(kg water)
The surface area and sorptive capacity of bituminous coal-based carbon adsorbent are between ______km2/kg dry solid and between ______ kg/kg dry solid respectively
A tube of 0.05 m2 cross sectional area is packed with spherical particles to a height of 0.25 m. The porosity of the bed is 0.35. It is desired to fluidize the particles with water (ρ = 1000 kg/m3, µ = 10-3 Pa-s). The minimum velocity of fluidization is given by the Ergun’s equation:
Data: Diameter of particles = 0.01 m
Density of solid particles = 2600 kg/m3
The minimum velocity of fluidization in m/s is
The oil-solvent solution obtained by leaching of vegetable seeds is
Purification of a chemical species by solidification from a liquid mixture where no diluent solvent is added to the reaction mixture and the solid phase is formed by cooling is called
During distribution of a solute between two partially miscible solvents, the selectivity at the plait point is