Time Estimation for Non-Steady State Diffusion in Steel Alloy

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The discussion focuses on estimating the time required to achieve a carbon concentration of 0.45% at a 5.0 mm depth in a steel alloy during carburizing. Initially, participants express confusion about manipulating the non-steady state diffusion formula. One user reports successfully solving the problem after realizing they could manipulate the error function (erf). Another user seeks guidance on how to approach the equation given that diffusion coefficients and concentration values are consistent. The conversation emphasizes the challenges of applying diffusion equations in practical scenarios.
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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.
 
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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.
 
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