All Chapters Covered
SOLUTION MANUAL
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1.1a. Concentration of a gas mi[ture.
A Pi[WXUe Rf QRbOe gaVeV [heOiXP (1), aUgRQ (2), NU\SWRQ (3), aQd [eQRQ (4)] iV aW a WRWaO SUeVVXUe Rf
200 NPa aQd a WePSeUaWXUe Rf 400 K. If Whe Pi[WXUe haV eTXaO PROe fUacWiRQV Rf each Rf Whe gaVeV, deWeUPiQe:
a) The cRPSRViWiRQ Rf Whe Pi[WXUe iQ WeUPV Rf PaVV fUacWiRQV.
SROXWiRQ:
BaViV: 100 NPROe Rf Whe Pi[WXUe
b) The aYeUagePROecXOaU ZeighW Rf Whe Pi[WXUe.
SROXWiRQ
c) The WRWaO PROaU cRQceQWUaWiRQ.
SROXWiRQ
d) The PaVV deQViW\.
SROXWiRQ
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1.2a. ConcenWUaWion of a liTXid VolXWion fed Wo a diVWillaWion colXmn.
A VolXWion of caUbon WeWUachloUide (1) and caUbon diVXlfide (2) conWaining 50% b\ ZeighW each iV Wo be conWinXoXVl\
diVWilled aW Whe UaWe of 4,000 kg/h DeWeUmine:
a) The concenWUaWion of Whe mi[WXUe in WeUmV of mole fUacWionV. SolXWion
BaViV: 100 kg mi[WXUe
b) The aYeUage molecXlaU ZeighW of Whe mi[WXUe.
SolXWion
c) CalcXlaWe Whe feed UaWe in kmol/h.
SolXWion
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1.3a. ConcenWUaWion of liTXified naWXUal gaV.
A VaPSOe Rf OiTXified QaWXUaO gaV, LNG, fURP AOaVNa haV Whe fROORZiQg PROaU cRPSRViWiRQ: 93.5% CH4, 4.6% C2H6, 1.2%
C3H8, aQd 0.7% CO2. CaOcXOaWe:
a) AYeUage PROecXOaU ZeighW Rf Whe LNG Pi[WXUe.
SROXWiRQ
b) WeighW fUacWiRQ Rf CH4 iQ Whe Pi[WXUe.
SROXWiRQ
BaViV: 100 NPROeV Rf LNG
c) The LNG iV heaWed WR 300 K aQd 140 NPa, aQd YaSRUi]eV cRPSOeWeO\. EVWiPaWe Whe deQViW\ Rf Whe gaV Pi[WXUe XQdeU
WheVe cRQdiWiRQV.
SROXWiRQ
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1.4b. ConcenWUaWion of a flXe gaV.
A flXe gaV conViVWV of caUbon dio[ide, o[\gen, ZaWeU YapoU, and niWUogen. The molaU fUacWionV of CO2 and O2 in a Vample of
Whe gaV aUe12% and6%, UeVpecWiYel\. TheZeighW fUacWion ofH2O in Whe gaV iV 6.17%. EVWimaWe Whe denViW\ of WhiV gaV
aW 500 K and 110 kPa.
SolXWion
BaViV: 100 kmole of gaV mi[WXUe
LeW [ = molaU fUacWion of ZaWeU in Whe mi[WXUe (aV a peUcenW)
IniWial eVWimaWe
FUom Whe giYen ZaWeU ZeighW fUacWion (0.0617):
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1.5 b. Material balances around an ammonia gas absorber.
A gaV VWUeaP fORZV aW Whe UaWe Rf 10.0 P3/V aW 300 K aQd 102 NPa. IW cRQViVWV Rf aQ eTXiPROaU Pi[WXUe Rf aPPRQia aQd aiU.
The gaV eQWeUV WhURXgh Whe bRWWRP Rf a SacNed bed gaV abVRUbeU ZheUe iW fORZV cRXQWeUcRXUUeQW WR a VWUeaP Rf SXUe
OiTXid ZaWeU WhaW abVRUbV 90% Rf aOO Rf Whe aPPRQia, aQd YiUW XaOO\ QR aiU. The abVRUbeU YeVVeO iV c\OiQdUicaO ZiW h aQ
iQW eUQaO diaPeW eU Rf 2.5 P.
a) NegOecWiQg Whe eYaSRUaWiRQ Rf ZaWeU, caOcXOaWe Whe aPPRQia PRO fUacWiRQ iQ Whe gaV OeaYiQg Whe abVRUbeU.
SROXWiRQ:
BaViV: 1 VecRQd
A = aPPRQia B = aiU
b) CaOcXOaWe Whe RXWOeW gaV PaVV YeORciW\ (defiQed aV PaVV fORZ UaWe SeU XQiW ePSW\ WXbe cURVV-VecWiRQaO
aUea).
SROXWiRQ:
1.6 b. Velocities and flu[es in a gas mi[ture.
A gaV Pi[WXUe aW a WRWaO SUeVVXUe Rf 150 NPa aQd 295 K cRQWaiQV 20% H2, 40% O2, aQd 40% H2O
b\ YROXPe. The abVROXW e YeORciWieV Rf each VSecieV aUe -10 P/V, -2 P/V, aQd 12 P/V, UeVSecWiYeO\, aOO
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in the direction of the ]-a[is.
a) Determine the mass average velocit\, v, and the molar average velocit\, V, for the mi[ture. Solution
Molar average velocit\, V
Mass average velocit\, vm
Basis: 1 kmole of gas mi[ture
b) Evaluate the four flu[es: jO2, nO2, JO2, NO2. Solution:
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1.7 b. PUopeUWieV of aiU VaWXUaWed ZiWh ZaWeU YapoU.
AiU, VWRUed iQ a 30-P3 cRQWaiQeU aW 340 K aQd 101.3 NPa iV VaWXUaWedZiWh ZaWeU YaSRU. DeWeUPiQe Whe fROORZiQg SURSeUWieV
Rf Whe gaV Pi[WXUe:
a) MROe fUacWiRQ Rf ZaWeU YaSRU.
b) AYeUage PROecXOaU ZeighW Rf Whe Pi[WXUe.
c) TRWaO PaVV cRQWaiQed iQ Whe WaQN.
d) MaVV Rf ZaWeU YaSRU iQ Whe WaQN.
SROXWiRQ
a) AQWRiQe eTXaWiRQ fRU ZaWeU YaSRU:
FRU a VaWXUaWed Pi[WXUe
b)
c)
d)
1.8 c. WaWeU balance aUoXnd an indXVWUial cooling WoZeU.
The cRROiQg ZaWeU fORZ UaWe WR Whe cRQdeQVeUV Rf a big cRaO-fiUed SRZeU SOaQW iV 8,970 Ng/V. The ZaWeU eQWeUV Whe
cRQdeQVeUV aW 29 C aQd OeaYeV aW 45 C. FURP Whe cRQdeQVeUV, Whe ZaWeU fORZV WR a cRROiQg WRZeU ZheUe iW iV cRROed dRZQ
bacN WR 29 C b\ cRXQWeUcRXUUeQW cRQWacW ZiWh aiU (Vee FigXUe 1.11). The aiU eQWeUV Whe cRROiQg WRZeU aW Whe UaWe Rf 6,500
Ng/V Rf dU\ aiU, aW a dU\-bXOb WePSeUaWXUe Rf 30 C aQd a hXPidiW\ Rf 0.016 Ng Rf ZaWeU/Ng Rf dU\ aiU. IW OeaYeV Whe cRROiQg WRZeU
VaWXUaWed ZiWh ZaWeU YaSRU aW 38 C.
a) CaOcXOaWe Whe ZaWeU ORVVeV b\ eYaSRUaWiRQ iQ Whe cRROiQg WRZeU. SROXWiRQ
CRQVideU Whe aiU OeaYiQg Whe WRZeU VaWXUaWed aW 38 C. AQWRiQe eTXaWiRQ
fRU ZaWeU YaSRU:
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SOLUTION MANUAL
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1.1a. Concentration of a gas mi[ture.
A Pi[WXUe Rf QRbOe gaVeV [heOiXP (1), aUgRQ (2), NU\SWRQ (3), aQd [eQRQ (4)] iV aW a WRWaO SUeVVXUe Rf
200 NPa aQd a WePSeUaWXUe Rf 400 K. If Whe Pi[WXUe haV eTXaO PROe fUacWiRQV Rf each Rf Whe gaVeV, deWeUPiQe:
a) The cRPSRViWiRQ Rf Whe Pi[WXUe iQ WeUPV Rf PaVV fUacWiRQV.
SROXWiRQ:
BaViV: 100 NPROe Rf Whe Pi[WXUe
b) The aYeUagePROecXOaU ZeighW Rf Whe Pi[WXUe.
SROXWiRQ
c) The WRWaO PROaU cRQceQWUaWiRQ.
SROXWiRQ
d) The PaVV deQViW\.
SROXWiRQ
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1.2a. ConcenWUaWion of a liTXid VolXWion fed Wo a diVWillaWion colXmn.
A VolXWion of caUbon WeWUachloUide (1) and caUbon diVXlfide (2) conWaining 50% b\ ZeighW each iV Wo be conWinXoXVl\
diVWilled aW Whe UaWe of 4,000 kg/h DeWeUmine:
a) The concenWUaWion of Whe mi[WXUe in WeUmV of mole fUacWionV. SolXWion
BaViV: 100 kg mi[WXUe
b) The aYeUage molecXlaU ZeighW of Whe mi[WXUe.
SolXWion
c) CalcXlaWe Whe feed UaWe in kmol/h.
SolXWion
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1.3a. ConcenWUaWion of liTXified naWXUal gaV.
A VaPSOe Rf OiTXified QaWXUaO gaV, LNG, fURP AOaVNa haV Whe fROORZiQg PROaU cRPSRViWiRQ: 93.5% CH4, 4.6% C2H6, 1.2%
C3H8, aQd 0.7% CO2. CaOcXOaWe:
a) AYeUage PROecXOaU ZeighW Rf Whe LNG Pi[WXUe.
SROXWiRQ
b) WeighW fUacWiRQ Rf CH4 iQ Whe Pi[WXUe.
SROXWiRQ
BaViV: 100 NPROeV Rf LNG
c) The LNG iV heaWed WR 300 K aQd 140 NPa, aQd YaSRUi]eV cRPSOeWeO\. EVWiPaWe Whe deQViW\ Rf Whe gaV Pi[WXUe XQdeU
WheVe cRQdiWiRQV.
SROXWiRQ
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1.4b. ConcenWUaWion of a flXe gaV.
A flXe gaV conViVWV of caUbon dio[ide, o[\gen, ZaWeU YapoU, and niWUogen. The molaU fUacWionV of CO2 and O2 in a Vample of
Whe gaV aUe12% and6%, UeVpecWiYel\. TheZeighW fUacWion ofH2O in Whe gaV iV 6.17%. EVWimaWe Whe denViW\ of WhiV gaV
aW 500 K and 110 kPa.
SolXWion
BaViV: 100 kmole of gaV mi[WXUe
LeW [ = molaU fUacWion of ZaWeU in Whe mi[WXUe (aV a peUcenW)
IniWial eVWimaWe
FUom Whe giYen ZaWeU ZeighW fUacWion (0.0617):
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1.5 b. Material balances around an ammonia gas absorber.
A gaV VWUeaP fORZV aW Whe UaWe Rf 10.0 P3/V aW 300 K aQd 102 NPa. IW cRQViVWV Rf aQ eTXiPROaU Pi[WXUe Rf aPPRQia aQd aiU.
The gaV eQWeUV WhURXgh Whe bRWWRP Rf a SacNed bed gaV abVRUbeU ZheUe iW fORZV cRXQWeUcRXUUeQW WR a VWUeaP Rf SXUe
OiTXid ZaWeU WhaW abVRUbV 90% Rf aOO Rf Whe aPPRQia, aQd YiUW XaOO\ QR aiU. The abVRUbeU YeVVeO iV c\OiQdUicaO ZiW h aQ
iQW eUQaO diaPeW eU Rf 2.5 P.
a) NegOecWiQg Whe eYaSRUaWiRQ Rf ZaWeU, caOcXOaWe Whe aPPRQia PRO fUacWiRQ iQ Whe gaV OeaYiQg Whe abVRUbeU.
SROXWiRQ:
BaViV: 1 VecRQd
A = aPPRQia B = aiU
b) CaOcXOaWe Whe RXWOeW gaV PaVV YeORciW\ (defiQed aV PaVV fORZ UaWe SeU XQiW ePSW\ WXbe cURVV-VecWiRQaO
aUea).
SROXWiRQ:
1.6 b. Velocities and flu[es in a gas mi[ture.
A gaV Pi[WXUe aW a WRWaO SUeVVXUe Rf 150 NPa aQd 295 K cRQWaiQV 20% H2, 40% O2, aQd 40% H2O
b\ YROXPe. The abVROXW e YeORciWieV Rf each VSecieV aUe -10 P/V, -2 P/V, aQd 12 P/V, UeVSecWiYeO\, aOO
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in the direction of the ]-a[is.
a) Determine the mass average velocit\, v, and the molar average velocit\, V, for the mi[ture. Solution
Molar average velocit\, V
Mass average velocit\, vm
Basis: 1 kmole of gas mi[ture
b) Evaluate the four flu[es: jO2, nO2, JO2, NO2. Solution:
,Telegram:@ChemicalE
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1.7 b. PUopeUWieV of aiU VaWXUaWed ZiWh ZaWeU YapoU.
AiU, VWRUed iQ a 30-P3 cRQWaiQeU aW 340 K aQd 101.3 NPa iV VaWXUaWedZiWh ZaWeU YaSRU. DeWeUPiQe Whe fROORZiQg SURSeUWieV
Rf Whe gaV Pi[WXUe:
a) MROe fUacWiRQ Rf ZaWeU YaSRU.
b) AYeUage PROecXOaU ZeighW Rf Whe Pi[WXUe.
c) TRWaO PaVV cRQWaiQed iQ Whe WaQN.
d) MaVV Rf ZaWeU YaSRU iQ Whe WaQN.
SROXWiRQ
a) AQWRiQe eTXaWiRQ fRU ZaWeU YaSRU:
FRU a VaWXUaWed Pi[WXUe
b)
c)
d)
1.8 c. WaWeU balance aUoXnd an indXVWUial cooling WoZeU.
The cRROiQg ZaWeU fORZ UaWe WR Whe cRQdeQVeUV Rf a big cRaO-fiUed SRZeU SOaQW iV 8,970 Ng/V. The ZaWeU eQWeUV Whe
cRQdeQVeUV aW 29 C aQd OeaYeV aW 45 C. FURP Whe cRQdeQVeUV, Whe ZaWeU fORZV WR a cRROiQg WRZeU ZheUe iW iV cRROed dRZQ
bacN WR 29 C b\ cRXQWeUcRXUUeQW cRQWacW ZiWh aiU (Vee FigXUe 1.11). The aiU eQWeUV Whe cRROiQg WRZeU aW Whe UaWe Rf 6,500
Ng/V Rf dU\ aiU, aW a dU\-bXOb WePSeUaWXUe Rf 30 C aQd a hXPidiW\ Rf 0.016 Ng Rf ZaWeU/Ng Rf dU\ aiU. IW OeaYeV Whe cRROiQg WRZeU
VaWXUaWed ZiWh ZaWeU YaSRU aW 38 C.
a) CaOcXOaWe Whe ZaWeU ORVVeV b\ eYaSRUaWiRQ iQ Whe cRROiQg WRZeU. SROXWiRQ
CRQVideU Whe aiU OeaYiQg Whe WRZeU VaWXUaWed aW 38 C. AQWRiQe eTXaWiRQ
fRU ZaWeU YaSRU:
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