Homework Assignment 2 1. An ideal gas mixture at T = 2000 K has the following composition: 02 0.086 H₂O 0.019 0.326 OH O H CO CO2 0.060 0.012 0.030 0.319 0.148 Species H2 Mole fraction The molar specific enthalpies and the constant pressure molar specific heats for the various species at T = 2000 K are listed in the table, below. Species H2 02 h (kJ/kmol) 52968 59169 H₂O -169040 OH 92761 O H 284909 253352 CO -53804 CO2 -302126 Cp (kJ/kmol-K) 34.236 37.788 51.143 34.635 20.819 20.786 36.721 60.433 == = (a) Calculate, for the mixture, the molar mass (Mm), the molar specific enthalpy (hm), the specific enthalpy (hm), the specific gas constant (Rm) and the specific heat ratio (Ym). {Partial Ans: hm - 4059 kJ/kg, Rm 356.3 J/kg-K} (b) The mixture is formed from the reaction of a hydrocarbon (CH1.96) and oxygen (02). Calculate the number of moles of the hydrocarbon and the oxygen in the reactant mixture. From the result, calculate their mole fractions. { Partial Ans.: XCH1.96 0.4705, Xo₂ = 0.5295} =

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Homework Assignment 2
1. An ideal gas mixture at T = 2000 K has the following composition:
02
0.086
H₂O
0.019 0.326
OH
O
H
CO
CO2
0.060
0.012
0.030
0.319
0.148
Species H2
Mole
fraction
The molar specific enthalpies and the constant pressure molar specific heats for the
various species at T = 2000 K are listed in the table, below.
Species
H2
02
h (kJ/kmol)
52968 59169
H₂O
-169040
OH
92761
O
H
284909
253352
CO
-53804
CO2
-302126
Cp (kJ/kmol-K) 34.236 37.788 51.143 34.635 20.819 20.786 36.721 60.433
==
=
(a) Calculate, for the mixture, the molar mass (Mm), the molar specific enthalpy
(hm), the specific enthalpy (hm), the specific gas constant (Rm) and the specific
heat ratio (Ym). {Partial Ans: hm - 4059 kJ/kg, Rm
356.3 J/kg-K}
(b) The mixture is formed from the reaction of a hydrocarbon (CH1.96) and oxygen
(02). Calculate the number of moles of the hydrocarbon and the oxygen in the
reactant mixture. From the result, calculate their mole fractions. { Partial Ans.:
XCH1.96 0.4705, Xo₂ = 0.5295}
=
Transcribed Image Text:Homework Assignment 2 1. An ideal gas mixture at T = 2000 K has the following composition: 02 0.086 H₂O 0.019 0.326 OH O H CO CO2 0.060 0.012 0.030 0.319 0.148 Species H2 Mole fraction The molar specific enthalpies and the constant pressure molar specific heats for the various species at T = 2000 K are listed in the table, below. Species H2 02 h (kJ/kmol) 52968 59169 H₂O -169040 OH 92761 O H 284909 253352 CO -53804 CO2 -302126 Cp (kJ/kmol-K) 34.236 37.788 51.143 34.635 20.819 20.786 36.721 60.433 == = (a) Calculate, for the mixture, the molar mass (Mm), the molar specific enthalpy (hm), the specific enthalpy (hm), the specific gas constant (Rm) and the specific heat ratio (Ym). {Partial Ans: hm - 4059 kJ/kg, Rm 356.3 J/kg-K} (b) The mixture is formed from the reaction of a hydrocarbon (CH1.96) and oxygen (02). Calculate the number of moles of the hydrocarbon and the oxygen in the reactant mixture. From the result, calculate their mole fractions. { Partial Ans.: XCH1.96 0.4705, Xo₂ = 0.5295} =
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