Question

Asked Nov 4, 2019

Step 1

Let N_{A} be the molar flux of oxygen (A) from the oxygen(A)-helium(C) mixture to the surface of the aluminum.

The Aluminum (B) is a non-diffusing component. The molar flux of aluminum in the given mixture is taken as zero ( N_{B}=0 ).

Consider the diffusion is steady-state diffusion and temperature and total pressure of the system is constant.

Step 2

**(1)**

The governing equation for the molar flux of component ‘A’ is represented by equation (1). Substituting the values of flux J_{A} obtained from Fick's first law and mole fraction in partial pressures from Raoult's law gives equation (2).

Location 1 is at a distance of 2 mm from the surface of the metal which is at location 2.

Integrate the equation (2) from location 1 to location 2 with p_{A1 }and p_{A2} as partial pressures of oxygen at 1 and 2.

The molar flux of oxygen to the surface of the aluminum is represented by equation (4)

Step 3

The reaction is given as an instantaneous reaction. As soon as the oxygen reaches the metal, it oxidizes the met...

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