Question

A sheet of steel 2.8-mm thick has nitrogen atmospheres on both sides at 850°C and is permitted to achieve a steady-state diffusion condition. Compute the number of kilograms of nitrogen that pass per hour through a 2.8-mm thick sheet of steel having an area of 0.28 m² at 850°C.

Answer 1

To calculate the number of kilograms of nitrogen that pass through the steel sheet per hour, we can use Fick's first law of diffusion.

Step-by-step explanation:

Calculating Nitrogen Diffusion Rate

To calculate the number of kilograms of nitrogen that pass through the steel sheet per hour, we can use Fick's first law of diffusion:

Flow rate = (D × A × ΔC) / Δx

Where:

1. Flow rate is the amount of substance that passes through a unit area in a unit time, measured in kg/h
2. D is the diffusion coefficient for nitrogen in steel, which can be looked up in a table or obtained through experimental data, measured in m²/s
3. A is the area of the sheet, given as 0.28 m²
4. ΔC is the concentration difference of nitrogen across the sheet, measured in kg/m³
5. Δx is the thickness of the sheet, given as 2.8 mm

Once we have the flow rate, we can convert it to kilograms per hour.