(Solved): Derive an equation for the distance (x) that proeutectoid cementing will grow into austenite in time ...

Derive an equation for the distance (x) that proeutectoid cementing will grow into austenite in time (t). Define all symbols used. In deriving this expression, assume rate control by diffusion of carbon in austenite (although actual rate data for the growth of proeutectoid cementite suggest that the kinetics of the growth of proeutectoid cementite are more complicated than those for proeutectoid ferrite).