The volume fractions are equal to the pressure fractions. Then, Partial pressures CO 2, 12.5 kpa O 2, 37.5 kpa N 2, 50 kpa P CO2 = 0.

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1 - he artial ressres of a gas ixtre are gien. he ole frations, the ass frations, the ixtre olar ass, the aarent gas onstant, the onstant-ole seifi heat, and the seifi heat ratio are to be deterined. roerties he olar asses of CO, O and are 44.0,.0, and 8.0 kg/kol, resetiel (able A-). he onstantole seifi heats of these gases at 00 are 0.657, 0.658, and 0.74 kj/kg, resetiel (able A-a). Analsis he ressre is CO + O ka he ole frations are eqal to the ressre frations. hen, CO O CO O We onsider 00 kol of this ixtre. hen the ass of eah oonent are CO O he ass is CO O O CO (.5 kol)(44 kg/kol) 550 kg (7.5 kol)( kg/kol) 00 kg (50 kol)(8 kg/kol) 400 kg + O + Ar kg hen the ass frations are f f f CO O CO O 550 kg kg 00 kg kg 400 kg 50 kg he aarent olelar weight of the ixtre is 50 kg 00 kol.50 kg/kol he onstant-ole seifi heat of the ixtre is deterined fro f Co,CO + f kj/kg O,O + f he aarent gas onstant of the ixtre is, 8.4 kj/kol 0.69 kj/kg.50 kg/kol he onstant-ressre seifi heat of the ixtre and the seifi heat ratio are kj/kg artial ressres CO,.5 ka O, 7.5 ka, 50 ka - k kj/kg kj/kg OIEAY AEIAL. 0 he Graw-ill Coanies, In. Liited distribtion eritted onl to teahers and edators for orse rearation. If o are a stdent sing this anal, o are sing it withot erission.

2 -4 he asses, teeratres, and ressres of two gases ontained in two tanks onneted to eah other are gien. he ale onneting the tanks is oened and the final teeratre is easred. he ole of eah tank and the final ressre are to be deterined. Asstions Under seified onditions both and O an be treated as ideal gases, and the ixtre as an ideal gas ixtre roerties he olar asses of and O are 8.0 and.0 kg/kol, resetiel. he gas onstants of and O are and ka /kg, resetiel (able A-). Analsis he oles of the tanks are - O O ( kg)(0.968 ka /kg )(98 ) ka (4 kg)(0.598 ka /kg )(98 ) ka kg 5 C 550 ka 4 kg O 5 C 50 ka + O Also, O O O kg 8 kg/kol kol 4 kg 0.5 kol kg/kol kol kol kol O hs, (0.964 kol)(8.4 ka.86 /kol )(98 ) 04 ka OIEAY AEIAL. 0 he Graw-ill Coanies, In. Liited distribtion eritted onl to teahers and edators for orse rearation. If o are a stdent sing this anal, o are sing it withot erission.

3 -55 he ole frations of oonents of a gas ixtre are gien. his ixtre is exanded isentroiall to a seified ressre. he work roded er nit ass of the ixtre is to be deterined. Asstions All gases will be odeled as ideal gases with onstant seifi heats. roerties he olar asses of,, and are.0, 4.0, and 8.0 kg/kol, resetiel (able A-). he onstantressre seifi heats of these gases at roo teeratre are 4.07, 5.96, and.09 kj/kg, resetiel (able A- a). Analsis We onsider 00 kol of this ixtre. oting that ole frations are eqal to the ole frations, ass of eah oonent are he ass is (0 kol)( kg/kol) 60 kg (40 kol)(4 kg/kol) 60 kg (0 kol)(8 kg/kol) 840 kg kg hen the ass frations are f f f 60 kg 060 kg 60 kg 060 kg 840 kg 060 kg he aarent olelar weight of the ixtre is 060 kg 00 kol 0.60 kg/kol he onstant-ressre seifi heat of the ixtre is deterined fro f + f kj/kg + f,,, he aarent gas onstant of the ixtre is 8.4 kj/kol kj/kg 0.60 kg/kol hen the onstant-ole seifi heat is kj/kg he seifi heat ratio is k he teeratre at the end of the exansion is ( k ) / k 0.48/ ka (87 ) 5000 ka An energ balane on the adiabati exansion roess gies wot 07 ( ) (.47 kj/kg )(87 07) 68 kj/kg 0% 40% 0% (b ole) 5 a, 600 C -9 OIEAY AEIAL. 0 he Graw-ill Coanies, In. Liited distribtion eritted onl to teahers and edators for orse rearation. If o are a stdent sing this anal, o are sing it withot erission.

4 -56 he ass frations of oonents of a gas ixtre are gien. his ixtre is enlosed in a rigid, well-inslated essel, and a addle wheel in the essel is trned ntil seified aont of work hae been done on the ixtre. he ixtre s final ressre and teeratre are to be deterined. Asstions All gases will be odeled as ideal gases with onstant seifi heats. roerties he olar asses of,, C 4, and C 6 are 8.0, 4.0, 6.0, and 0.0 kg/kol, resetiel (able A-). he onstant-ressre seifi heats of these gases at roo teeratre are.09, 5.96,.57, and.766 kj/kg, resetiel (able A-a). Analsis We onsider 00 kg of this ixtre. he ole nbers of eah oonent are C4 C6 C4 C4 C6 C6 5 kg 8 kg/kol 5 kg 4 kg/kol 60 kg 6 kg/kol 0 kg 0 kg/kol he ole nber of the ixtre is kol.5 kol.75 kol kol 5% 5% 60% C 4 0% C 6 (b ass) 0 00 ka 0 C + + C4 + C kol he aarent olelar weight of the ixtre is 00 kg 6.04 kol 6. kg/kol he onstant-ressre seifi heat of the ixtre is deterined fro f, + f, + fc4,c4 + fc kJ/kg he aarent gas onstant of the ixtre is 8.4 kj/kol kj/kg 6. kg/kol hen the onstant-ole seifi heat is kj/kg he ass in the ontainer is, C6 W sh -0 (00 ka)(0 ). kg (0.558 ka /kg )(9 ) An energ balane on the sste gies W sh,in ( ) W + sh,in Sine the ole reains onstant and this is an ideal gas, 97.7 (00 ka) 9 0. ka (9 ) + 00 kj (. kg)(.605 kj/kg 97.7 ) OIEAY AEIAL. 0 he Graw-ill Coanies, In. Liited distribtion eritted onl to teahers and edators for orse rearation. If o are a stdent sing this anal, o are sing it withot erission.

5 -68 A iston-linder deie ontains a gas ixtre at a gien state. at is transferred to the ixtre. he aont of heat transfer and the entro hange of the ixtre are to be deterined. Asstions Under seified onditions both and an be treated as ideal gases, and the ixtre as an ideal gas ixtre. ineti and otential energ hanges are negligible. roerties he onstant ressre seifi heats of and at 450 are 4.50 kj/kg. and.049 kj/kg., resetiel. (able A-b). Analsis (a) oting that and, Fro the losed sste energ balane relation, E E E in ot sste Q W U Q ( )( 00 ) kg.6 kg 00 ka 00 in b, ot in Q sine W b and U obine into for qasi-eqilibri onstant ressre roesses. Q in + [ ( )] + [ ( )],ag,ag ( 0.5 kg)( 4.50 kj/kg )( ) + (.6 kg)(.049 kj/kg )( ) 679 kj (b) oting that the ixtre ressre, and ths the artial ressre of eah gas, reains onstant, the entro hange of the ixtre dring this roess is [ ( s s )] ( 0.5 kg)( 4.50 kj/kg ) 5.06 kj/ [ ( s s )] (.6 kg)(.049 kj/kg ).6 kj/ kj/ +.6 kj/ 6.9 kj/ OIEAY AEIAL. 0 he Graw-ill Coanies, In. Liited distribtion eritted onl to teahers and edators for orse rearation. If o are a stdent sing this anal, o are sing it withot erission.

Chapter 4, Problem 30.

Chapter 4, Problem 30. A well-insulated rigid tank contains 5 kg of a saturated liquid vapor mixture of water at l00 kpa. Initially, three-quarters of the mass is in the liquid phase. An electric resistor