CHE 205
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Transcript of CHE 205
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CHE 205
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Units and Units and LinearizationLinearization
MW and SGMW and SG Pressure Pressure and and
ManometerManometerss
Flowcharts Flowcharts and DOFand DOF
BalancesBalances
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What are the units of the What are the units of the constant in the following constant in the following
equation:equation:
b = 0.08664 R * T / Pb = 0.08664 R * T / P
wherewhere b(L/mol),b(L/mol), P(atm),P(atm), T(K),T(K),
R(L*atm/mol*K)R(L*atm/mol*K)
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What is the linearized What is the linearized form of the following form of the following
equation?equation?
(y+2)(y+2)22 = (sin x / nx) = (sin x / nx)22 + + bb
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What type of relationship What type of relationship is the following equation is the following equation and which axes would be and which axes would be necessary in order for the necessary in order for the
plot of C vs. R to be a plot of C vs. R to be a straight line?straight line?
C = m*RC = m*Rbb
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If an exponential curve If an exponential curve fits the points (2.3, 20) fits the points (2.3, 20) and (7.6, 476), what are and (7.6, 476), what are the slope and intercept the slope and intercept
of the semi-log plot?of the semi-log plot?
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What are the slope and What are the slope and intercept (with units) of intercept (with units) of the following power law the following power law
relationship:relationship:
P(atm) = a*x(N)P(atm) = a*x(N)bb
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What is the definition of What is the definition of molecular weight?molecular weight?
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What is the definition of What is the definition of specific gravity?specific gravity?
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If an object sinks in a If an object sinks in a container of water, what can container of water, what can you say about its density and you say about its density and
specific gravity?specific gravity?
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What is the average molecular What is the average molecular weight of a equimolar mixture weight of a equimolar mixture
of benzene, toluene, and of benzene, toluene, and xylene?xylene?
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What is the average What is the average molecular weight of a molecular weight of a mixture with 20 wt% mixture with 20 wt%
ethane, 35 wt% butane, 15 ethane, 35 wt% butane, 15 wt% hexane, and the rest wt% hexane, and the rest
octane?octane?
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If an open tank has 30 ft of If an open tank has 30 ft of water standing in it, what is water standing in it, what is the gauge pressure (in atm) the gauge pressure (in atm) at the bottom of the tank?at the bottom of the tank?
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If an open tank has 25 in of If an open tank has 25 in of mercury standing in it, what mercury standing in it, what is the absolute pressure (in is the absolute pressure (in
bar) at the bottom of the bar) at the bottom of the tank?tank?
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What is the gauge pressure What is the gauge pressure in a closed tank if the in a closed tank if the
absolute pressure is 12.5 absolute pressure is 12.5 psi?psi?
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What is the height of a What is the height of a liquid (SG = 0.92) in an liquid (SG = 0.92) in an open tank if the gauge open tank if the gauge
pressure at the bottom of pressure at the bottom of the tank is 225 kPa?the tank is 225 kPa?
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What is the pressure at the What is the pressure at the top of a closed tank if it top of a closed tank if it
contains a liquid at a height contains a liquid at a height of 28 m (SG = 0.92) and the of 28 m (SG = 0.92) and the
gauge pressure at the gauge pressure at the bottom of the tank is 225 bottom of the tank is 225
kPa?kPa?
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What is missing from the What is missing from the following flowchart?following flowchart?
100 kg100 kg
0.3 kg A/kg0.3 kg A/kg
0.7 kg B/kg0.7 kg B/kg
mm11 (kg)(kg)
0.2 kg B/kg0.2 kg B/kg
0.8 kg C/kg0.8 kg C/kg
xx11 kg A/kg kg A/kg
xx22 kg B/kg kg B/kg
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Complete the following Complete the following flowchart using only flowchart using only
variables (do not solve)variables (do not solve)50 kg A/s50 kg A/s
75 kg /s75 kg /s
0.4 kg 0.4 kg B/kgB/kg
0.6 kg 0.6 kg C/kgC/kg
0.6 kg 0.6 kg A/kgA/kg
0.4 kg 0.4 kg B/kgB/kg
0.2 kg 0.2 kg A/kgA/kg
0.8 kg 0.8 kg C/kgC/kg
0.7 kg 0.7 kg A/kgA/kg
0.3 kg 0.3 kg B/kgB/kg
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Determine the number of Determine the number of Degrees of Freedom in the Degrees of Freedom in the
following systemfollowing system
35 lb35 lbmm
xx11 lb lbmm A/lb A/lbmm
(1-x(1-x11) lb) lbmm B/lb B/lbmm
mm11 (lb (lbmm))
20 lb20 lbmm
0.45 lb0.45 lbmm A/lb A/lbmm
0.55 lb0.55 lbmm B/lb B/lbmm
0.85 lb0.85 lbmm A/lb A/lbmm
0.15 lb0.15 lbmm B/lb B/lbmm
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Determine the number of Determine the number of Degrees of Freedom in the Degrees of Freedom in the
overall systemoverall system50 kg 50 kg A/sA/s
mmoo kg /s kg /s
0.4 kg B/kg0.4 kg B/kg
0.6 kg C/kg0.6 kg C/kg
xx11 kg A/kg kg A/kg
(1-x(1-x11) kg ) kg B/kgB/kg
0.2 kg A/kg0.2 kg A/kg
0.8 kg C/kg0.8 kg C/kg
0.7 kg A/kg0.7 kg A/kg
0.3 kg 0.3 kg B/kgB/kg
mm11 kg /s kg /s
mm33 kg /s kg /s
mm44 kg /s kg /s
mm22 kg /s kg /s
xx22 kg A/kg kg A/kg
xx33 kg B/kg kg B/kg
(1-x(1-x22-x-x33) kg ) kg C/kgC/kg
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What is the number of Degrees of What is the number of Degrees of Freedom in the first separator for Freedom in the first separator for
the following system?the following system?
5000 5000 gg
mm11 (g) (g)
mm22 (g) (g)mm44 (g) (g)
3500 3500 gg
mm33 (g) (g)
0.25 g 0.25 g A/gA/g
0.35 g 0.35 g B/gB/g
0.40 g 0.40 g C/gC/g
0.45 g 0.45 g B/gB/g
0.55 g 0.55 g C/gC/g
0.60 g 0.60 g A/gA/g
0.25 g 0.25 g B/gB/g
0.15 g 0.15 g C/gC/g
xx11 g A/g g A/g
(1-x(1-x11) g ) g B/gB/gxx22 g A/g g A/g
(1-x(1-x22) g ) g B/gB/g
xx33 g A/g g A/g
(1-x(1-x33) g ) g B/gB/g
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How many balances are How many balances are independent in the independent in the following system?following system?
100 kg100 kg
0.3 kg A/kg0.3 kg A/kg
0.7 kg B/kg0.7 kg B/kg
mm11 (kg)(kg)
0.2 kg B/kg0.2 kg B/kg
0.8 kg C/kg0.8 kg C/kg
xx11 kg A/kg kg A/kg
xx22 kg B/kg kg B/kg
(1-x(1-x11-x-x22) kg ) kg C/kgC/kg
mm22 (kg)(kg)
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Please write the balance on Please write the balance on B in the following system:B in the following system:
100 kg100 kg
0.3 kg A/kg0.3 kg A/kg
0.7 kg B/kg0.7 kg B/kg
mm11 (kg)(kg)
0.2 kg B/kg0.2 kg B/kg
0.8 kg C/kg0.8 kg C/kg
xx11 kg A/kg kg A/kg
xx22 kg B/kg kg B/kg
(1-x(1-x11-x-x22) kg ) kg C/kgC/kg
mm22 (kg)(kg)
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What is the mathematical What is the mathematical expression that represents expression that represents
the following statement: the the following statement: the feed ratio of A to B is 2:1?feed ratio of A to B is 2:1?
mmAA (kg) (kg)
mmBB (kg) (kg)
mm11 (kg) (kg)
xx11 kg A/kg kg A/kg
(1-x(1-x11) kg B/kg) kg B/kg
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Write the mathematical Write the mathematical expression that represents the expression that represents the statement – 70% of the water is statement – 70% of the water is stripped from the feed solution stripped from the feed solution and sent to a processing plantand sent to a processing plant
mmoo (kg) (kg)
mm11 (kg H (kg H22O)O)
mm22 (kg) (kg)
xx22 kg A/kg kg A/kg
(1-x(1-x22) kg ) kg HH22O/kgO/kg
xx11 kg A/kg kg A/kg
(1-x(1-x11) kg ) kg HH22O/kgO/kg
To processing To processing plantplant
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What is the total molar amount What is the total molar amount of the overhead product (mof the overhead product (mOO) )
if 93% of A is recovered in if 93% of A is recovered in this stream?this stream?
200 mol200 mol
mmBB (mol)(mol)
mmOO (mol) (mol)
0.95 mol 0.95 mol A/molA/mol
0.05 mol 0.05 mol B/molB/mol
0.5 mol A/mol0.5 mol A/mol
0.5 mol B/mol0.5 mol B/mol
xx11 mol A/mol mol A/mol
(1-x(1-x11) mol ) mol B/molB/mol