2-2. At a certain temperature, the viscosity of a lubricating oil is 0.136 10-3 lbf s/ft2. What is the kinematic viscosity in m2/s if the density of the oil is = 0.936 g/cm3.
2-2. The kinematic viscosity is given by
= =
( 0.136 10 ) ( lb s ft ) ( 0.936 )

2-8. (Adopted from Safety Health and Loss Prevention in Chemical Processes by AIChE). The level of exposure to hazardous materials for personnel of chemical plants is a very important safety concern. The Occupational Safety and Health Act (OSHA) defines a

2-1. Convert the following quantities as indicated: a) 5000 cal to Btu b) 5000 cal to watt-sec c) 5000 cal to newton-meter
2-1. The solution requires the simple use of conversion factors that are contained in
5000 cal = 5000 cal cfw_1 1 Btu = 5000 cal 252

2-10. In order to develop a dimensionally correct form of Eq. 2-9 the appropriate units must be included with the numerical coefficients, 585 and 1683. The units associated with the first coefficient are given by Eq. 2-10 and in this problem you are asked

2-11. In the literature you have found an empirical equation for the pressure drop in a column packed with a particular type of particle. The pressure drop is given by the dimensionally incorrect equation
0.15 H 0.85 v1.85 p = 4.7 d 1.2 p
which requires

2-6. The monetary unit of the American economic system is the dollar, $. An ounce (troy) of platinum, used as a catalyst in many chemical processes and in automobile catalytic converters, costs $100. If a catalytic converter has 5 grams of platinum, what

3-18. If the delivery charge for the propane tank described in Example 3.3 is $37.50, and the cost of the next largest available tank is $2500 (for a 2.2 cubic meter tank), how long will it take to recover the cost of a larger tank?
3-18. The volume of th

4-1. Determine the mass density, , for the mixing process illustrated in Figure 4-1.
4-1. The mixing process illustrated in Figure 4-1 is a batch process in which the mass of each species is conserved. We express this idea as o V A A = AV , o VB B = BV ,

2-19. Write an expression for the volume per unit mass, V , as a function of the molar volume, V , (that is the volume per mole) and the molecular weight, MW. Write an expression for the molar volume, V , as a function of the density of the component, ,

2-7. In the textile industry, filament and yarn sizes are reported in denier which is defined as the mass in grams of a length of 9000 meters. If a synthetic fiber has an average specific gravity of 1.32 and a filament of this material has a denier of 5.0

2-9. A liquid has a specific gravity of 0.865. What is the density of the liquid at 20 C in the following units: (a) kg/m3 (b) lbm/ft3 (c) g/cm3 (d) kg/lt
2-9. Specific gravity is the ratio of the density of the liquid with respect to the density of water

3-6. A cylindrical tank having a diameter of 100 ft and a height of 20 ft is used to store water for distribution to a suburban neighborhood. The average water consumption (stream 2 in Figure 3.2) during pre-dawn hours (midnight to 6 AM) is about 100 m3/h

4-2. A liquid hydrocarbon mixture was made by adding 295 kg of benzene, 289 kg of toluene and 287 kg of p-xylene. Assume there is no change of volume upon mixing, i.e., Vmix = 0 , in order to determine: 1. The species density of each species in the mixtur

2-12. The ideal gas heat capacity can be expressed as a power series in terms of temperature according to
Cp = A1 + A2 T + A3 T 2 + A4 T 3 + A5 T 4
In this dimensionally incorrect equation, the units of C p are joule/(mol oK), and the units of temperature

3-4. For the coating operation described in Examples 3.1 and 3.2, we have produced an optical fiber having a diameter of 125 micrometers. The speed of the coated fiber at the take-up wheel is 4.5 meters per second and the desired thickness of the polymer

4-5. A mixture of gases contains one kilogram of each of the following species: methane, ethane, propane, carbon dioxide, nitrogen. Calculate the following: 1. The mole fraction of each species in the mixture 2. The average molecular mass of the mixture
4

4-4. The species mass densities of a three component liquid mixture are: acetone, A = 326.4 kg/m3 , acetic acid, AA = 326.4 kg/m3 , and ethanol, EA = 217.6 kg/m3 . Determine the following for this mixture: 1. The mass fraction of each species in the mixtu

4-3. A gas mixture contains the following quantities per cubic meter of carbon monoxide, carbon dioxide and hydrogen: carbon monoxide, 0.5 moles/m3, carbon dioxide, 0.5 moles/m3, and hydrogen, 0.6 moles/m3. Determine the species mass density and mass frac

3-17. The steady-state average residence time of a liquid inside a holding tank is computed by the ratio of the volume of the tank to the volume flow rate of liquid in and out of the tank, = V/Q. A cylindrical tank with volume V = 3 m3 and the input mass

3-15. The solution to Problem 3-5 indicates that the diversion of water from Mono Lake to Los Angeles would cause the level of the lake to drop 19 meters. A key parameter in this prediction is the evaporation rate of 36 in/year, and the steady-state analy

3-14. In Figure 3.14 we have illustrated a cross-sectional view of a barge loaded with stones. The barge has sprung a lead as indicated, and the volumetric flow rate of the leak is given by
leak flow rate = Cd Ao g (h hi )
Here Cd is a discharge coefficie

3-13. In Figure 3.13 we have illustrated a capillary tube that has just been immersed in a pool of water. The water is rising in the capillary so that the height of liquid in the tube is a function of time. Later, in a course on fluid mechanics, you will

3-12. A variety of devices, such as ram pumps, hydraulic jacks, and shock absorbers, make use of moving solid cylinders to generate a desired fluid motion. In Figure 3.12 we have illustrated a cylindrical rod entering a cylindrical cavity in order to forc

3-11. The flow of blood in the veins and arteries is a transient process in which the elastic conduits expand and contract. As a simplified example, consider the artery shown in Figure 3-11. At some instant in time, the inner radius has a radial velocity

3-10. A bathtub is filled with water from a faucet at a flow rate of 10 liters per minute. The volume of the bathtub is 25 gallons when the depth of the water is one foot. How long will it take to fill the bathtub? Suppose the bathtub plug has a hole and

3-9. In Figure 3.9 we have shown a tank into which water enters at a volumetric rate Q1 and leaves at a rate Qo that is given by
Qo = 0.6 Ao gh
Here Ao is the area of the orifice in the bottom of the tank. If the tank is initially empty when
Figure 3.9. T

3-8. The control volume to be used in the analysis of this process is shown in Figure 3.8a. The construction of this control volume begins with a cut at the exit of the tank where information is given and a cut at the gas-liquid interface where informatio

3-7. According to the problem, the volume of the horizontal cylindrical tank is given by:
V = L R2 L R2 ( sin ) 2
(1)
where is a function of time. If we try to calculate the value of h (high) with this definition of variables, we have:
h = R + R cos( ) 2

Problem 3-7 solution
According to the problem statement, the volume of the horizontal cylindrical tank is given by L R2 V = p L R2 - Ha - sin aL 2 where a is a function of time. From the geometry we can use trigonometry to relate h to a: a h = R + R cos I

3-5. Mono Lake is located at about 6,000 ft. above sea level on the eastern side of the Sierra Nevada mountains, and a simple model of the lake is given in Figure 3.5a. The environment is that of a high, cold desert during the Winter, a thirsty well durin