SOLVED

 PROBLEMS 5.1. When a liquid or a gas occupies a volume, it may be assumed to fill the volume completely. On the other hand, when solid particles occupy a volume, there are always spaces (voids) among the particles. The porosity or void fraction of a bed of particles is the ratio (void volume)/(total bed volume), and the absolute density of the solids has the usual definition, (mass of solids)/(volume of solids) Suppose 600.0g of a crushed ore is placed in a graduated cylinder, filling it to the 184 cm3 level. One hundred cm3 of water is then added to the cylinder, whereupon the water level is observed to be at the 233.5 cm3 mark. Calculate the porosity of the dry particle bed, the bulk density of the ore in this bed, and the density of the ore. 5.4. A slurry contains crystals of copper sulfate pentahydrate [CUSO4? 5H2O(s), specific gravity = 2.3] suspended in an aqueous copper sulfate solution (liquid SG = 1.2). A sensitive transducer is used to measure the pressure difference, ΔP(pa). between two points in the sample container separated by a vertical distance of h meters. The reading is in turn used to determine the mass fraction of crystals in the slurry, xc (kg crystals/kg slurry) (c) Suppose 175 kg of the slurry is placed in the sample container with h = 0.200 m and a transducer reading Δp = 2775 Pa is obtained. Calculate (i) psl, (ii) xc, (iii) the total slurry volume, (iv) the mass of crystals in the slurry, (v) the mass of anhydrous copper sulfate (CuSO4 without the water of hydration) in the crystals, (vi) the mass of liquid solution, and (vii) the volume of liquid solution. 5.6. One gram-mole of methyl chloride vapor is contained in a vessel at 100°C and 10 atm. (b) Suppose the actual volume of the vessel is 2.8 liters. What percentage error results from assuming ideal gas behaviour? 5.8. From the standard conditions given in Table 5.2-1. calculate the value of the gas constant R in (b) torr ft3/(lb-mole °R). 5.10. A stream of air enters a 7.50-cm ID pipe at a velocity of 60.0 m/s at 27°C and 1.80 bar (gauge). At a point downstream, the air flows through a 5.00 cm ID pipe at 60C and 1.53 bar (gauge). What is the velocity of the gas at this point