Factors that influence diffusion iii carbon is allowed to diffuse through a steel plate 13-mm thick. the concentrations of carbon at the two faces are 0.702 and 0.110 kg of carbon per m³ of iron, which are maintained constant. if the preexponential and activation energy are 6.5 x 10^-⁷ m²/s and 82 kj/mol, respectively, calculate the temperature (in k) at which the diffusion flux is 3.2 x 10-⁹ kg/(m²-s).

Explanation:

We need to use Fick's Law to resolve this problem.

We know for this Law that:

And we know as well that the diffusivity coefficient can be expressed as follows,

Where J is the flux of atoms, D is the diffusivity, R is the gas constant, Ed is the activation energy and \frac{\Delta c}{\Delta x} is the concentration of gradient.

To calculate the temperature we need to remplace the equation of diffusivity coefficient in the Fick's law equation.

Rearrange the equation to get the value of temperature

We have all the values,

So  substituting,