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 cont
2-3. The density of a gas mixture is = 1.3 kg/m3. Calculate the density of the gas mixture in the following list of units: (a) lbm/ft3 (b) g/cm3 (c) g/lt (d) lbm/in3
2-3. Parts (a) and (b) can be dete
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 den
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 den
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 equa
Problem 2-17
Given the following 33 matrices i -3 5 -4 j j j 1 9 A= j 6 j j k 4 -3 2 y z z z z z z cfw_ i 2 -1 3 y j z j z j 2 5z z B= j 1 j z j z k -3 -5 2 cfw_
determine A+B and A-3B
Solution
If Ai
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
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 mol
4-7.Develop a representation for the mole fraction of species A in an N-component system in
terms of the mass fractions and molecular masses of the species. Use the result to prove that the
mass fract
4-9. A three component liquid mixture flows in a pipe with a mass averaged velocity of 0.9 m/s.
The density of the mixture is = 850 Kg/m3. The components of the mixture and their mixture
and their mol
4-11. A flash unit is used to separate vapor and liquid streams from a liquid stream by lowering its
pressure before it enters the flash unit. The feed stream is pure liquid water and its mass flow ra
4-12. Show that Eq. 4-77 results from Eq. 4-76 when either cv n or x A is constant over the area
of the exit.
4-12. We begin this problem with Eq. 4-77
MA
=
x A c v n dA
(1)
Aexit
and consider the cas
4-13. Use Eq. 4-77 to prove Eq.4-78.
4-13. Given Eq. 4-77
MA
= xA M
(1)
we sum over all N species to obtain
A= N
MA
= x A M + xB M + xC M + . + xN M
A=1
(2)
=
[ xA
+ xB + xC + . + xN ] M
At any point
4-14. Derive Eq. 4-81 given that either v n or A is constant over the area of the exit.
4-14. It was suggested in the text that Eq. 4-81
B= N
A = m A
(1)
mB
B =1
was valid when either v n or A is con
4-15. Prove Eq.4-84.
4-15. In order to prove the relation
A= N
xA b
=1
(1)
A=1
we begin with the definition of the bulk mole fraction at an exit which is given by
xA b
=
x A v n dA
Aexit
(2)
v n dA
5-1. Show that the mole fraction in an ideal gas mixture can be expressed as y A = p A p .
5-1. The equation of state for an ideal gas mixture is given by
pA V
= n A RT ,
A = 1, 2, .N
(1)
for the indi
5-4. Determine the vapor pressure, in Pascal, of ethyl ether at 25 C and at 30 C. Estimate the heat
of vaporization of ethyl ether using these two vapor pressures and the Clausius-Clapeyron
equation.
5-7. Use Eqs. 5-27 and 5-28 order to derive 5-29.
5-7. We begin this problem with Eq. 5-27 for both species A and species B.
yA
(
)
= x A p A,vap p ,
yB
(
= xB pB ,vap p
)
(1)
and divide the first by
6-1. By counting atoms provide at least one version of a balanced chemical equation based on
? C2 H6 + ? O2
? CO + ? C 2 H 4 O + ? H 2 O + CO 2
6-1. One possibility different from the two versions gi
6-2. Construct the chemical composition matrix, [ N JA ] , for the following set of components:
Sodium hydroxide (Na OH), methyl bromide (CH3Br), methanol (CH3OH), and sodium bromide
(NaBr).
6-2. A vi
6-3. Construct a chemical composition matrix for a system containing the following molecular
species: 6-3. Construct a chemical composition matrix for a system containing the following
molecular speci
Problem 7-3 . Carbon is burned in air with all the carbon oxidized to CO2 . Calculate the flue gas composition
when the percent of excess air is 0.50, 100. The percent of excess air (PEA) is defined a
Problem 7-11
Metallic silver may be obtained from sulfide ores by roasting to sulfates, leaching with water, and precipitating the
silver with copper. It is this latter process, involving the chemica
2-4. The cgs system of units is commonly used in science. What is the unit of force in the cgs system? Find the conversion factor from this unit and a Newton. Find the conversion factor between this u
2-5. A revolution represents 360 or 2 radians, thus the conversion factor that we need can be expressed as
1 rev = 360
o
o
= 2 radians
Use of this result leads to
1 rev/min = rev min 2 rad min = 0.104
2-14. Energy is sometimes expressed as v 2 / 2 g although this term does not have the units of energy. What are the units of this term and why would it be used to represent energy? Think about the fac
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
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