2. (20 points) Consider combustion of hydrogen gas in a mixture of hydrogen and oxygen adjacent to the metal wall of a combustion chamber. Combustion occurs at constant temperature and pressure according to the chemical reaction 2H₂+ O₂→ 2H₂O. Measurements under steady-state conditions at 10 mm from the wall indicate that the molar concentrations of hydrogen, oxygen, and water vapor are 0.10, 0.10, and 0.20 kmol/m³, respectively. The generation rate of water vapor is 0.96x102 kmol/m³s throughout the region of interest. The binary diffusion coefficient for each of the species (H, O̟, and H₂O) in the remaining species is 0.6 X 10-5 m²/s. (a) Determine an expression for and make a qualitative plot of C as a function of distance from the wall. H2 (b) Determine the value of C2 at the wall. H2 (c) On the same coordinates used in part (a), sketch curves for the concentrations of oxygen and water vapor. This will require you to calculate Co, and C. 02 H20 (d) What is the molar flux of water vapor at x =10 mm? Homogeneous Chemical Reactions: Steady State
2. (20 points) Consider combustion of hydrogen gas in a mixture of hydrogen and oxygen adjacent to the metal wall of a combustion chamber. Combustion occurs at constant temperature and pressure according to the chemical reaction 2H₂+ O₂→ 2H₂O. Measurements under steady-state conditions at 10 mm from the wall indicate that the molar concentrations of hydrogen, oxygen, and water vapor are 0.10, 0.10, and 0.20 kmol/m³, respectively. The generation rate of water vapor is 0.96x102 kmol/m³s throughout the region of interest. The binary diffusion coefficient for each of the species (H, O̟, and H₂O) in the remaining species is 0.6 X 10-5 m²/s. (a) Determine an expression for and make a qualitative plot of C as a function of distance from the wall. H2 (b) Determine the value of C2 at the wall. H2 (c) On the same coordinates used in part (a), sketch curves for the concentrations of oxygen and water vapor. This will require you to calculate Co, and C. 02 H20 (d) What is the molar flux of water vapor at x =10 mm? Homogeneous Chemical Reactions: Steady State
Chapter1: Numerals And Fractions
Section: Chapter Questions
Problem 6RP
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
Transcribed Image Text:2. (20 points) Consider combustion of hydrogen gas in a mixture
of hydrogen and oxygen adjacent to the metal wall of a
combustion chamber. Combustion occurs at constant
temperature and pressure according to the chemical reaction
2H₂+ O₂→ 2H₂O. Measurements under steady-state conditions
at 10 mm from the wall indicate that the molar concentrations
of hydrogen, oxygen, and water vapor are 0.10, 0.10, and 0.20
kmol/m³, respectively. The generation rate of water vapor is
0.96x102 kmol/m³s throughout the region of interest. The binary
diffusion coefficient for each of the species (H, O̟, and H₂O) in
the remaining species is 0.6 X 10-5 m²/s.
(a) Determine an expression for and make a qualitative plot
of C as a function of distance from the wall.
H2
(b) Determine the value of C2 at the wall.
H2
(c) On the same coordinates used in part (a), sketch curves
for the concentrations of oxygen and water vapor. This will
require you to calculate Co, and C.
02
H20
(d) What is the molar flux of water vapor at x =10 mm?
Homogeneous Chemical Reactions: Steady State
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