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A differential nitrogen pressure exists across a 2-mm-thick steel furnace wall. After some time, steady-state diffusion of the nitrogen is established across the wall. Given that the nitrogen concentration on the high-pressure surface of the wall is 2 kg/m3 and on the low-pressure surface is 0.2 kg/m3, calculate the flow of nitrogen through the wall (in kg/m2⋅h) if the diffusion coefficient for nitrogen in this steel is 1.0 × 10-10 m2/s at the furnace operating temperature.

Respuesta :

Answer:

[tex]J_x = 0.324 \times 10^{-3}\ kg/m^2.h[/tex]

Explanation:

given,

thickness of steel furnace = 2 mm

high- pressure surface = 2 Kg/m³

low-pressure surface = 0.2 kg/m³

coefficient for nitrogen in this steel = 1.0 × 10⁻¹⁰ m²/s

[tex]J_x = -D[\dfrac{-(C_h-C_l)}{\chi_0}][/tex]

[tex]J_x = -(1\times 10^{-10})[\dfrac{-(2-0.2)}{2 \times 10^{-3}}]\times 3600 s/h[/tex]

[tex]J_x = 0.324 \times 10^{-3}\ kg/m^2.h[/tex]

the flow of nitrogen through the wall is equal to [tex]J_x = 0.324 \times 10^{-3}\ kg/m^2.h[/tex]

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