Time Estimation for Non-Steady State Diffusion in Steel Alloy

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[SOLVED] Non-Steady State Diffusion

Homework Statement


For a steel alloy below, it has been determined that a carburizing heat treatment of 10 hr duration will raise the carbon concentration to 0.45%. Estimate the time necessary to achieve the same concentration at a point 5.0 mm position for an identical steel and at the same carburizing temperature.


Homework Equations





The Attempt at a Solution


Have not picked on what to do but I am currently still manipulating the formula of non-steady state diffusion. So if I can get push in the right direction, that would be appreciated.
 

Discussion

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Never mind guys I got it. Didnt know one could manipulate the erf function as I did.
 


I have the same problem and am completely stuck. I know that the coefficient of diffusion and Concentration values are equal between the two situations... but am completely at a loss of how to manipulate the equation to determine the time.

.. need a little push.