Consider combustion of hydrogen gas in a mixture of hydrogen and oxygen adjacent to the metal wall

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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 a distance of 10 mm from the wall indicate that the molar concentrations of hydrogen oxygen and water vapor are 0.10, 0.10, and 0.20k mol/m3, respectively. The generation rate of water vapor is 0.96 x 10-2k mol/m3 ∙ s throughout the region of interest. The binary diffusion coefficient for each of the species (H2, O2, 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 CH2 as a function of distance from the wall.

(b) Determine the value of C H2 at the wall.

(c) On the same coordinates used in part (a), sketch curves for the concentrations of oxygen and water vapor.

(d) What is the molar flux of water vapor at x = 10 mm?

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Fundamentals of Heat and Mass Transfer

ISBN: 978-0471457282

6th Edition

Authors: Incropera, Dewitt, Bergman, Lavine

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