# Zone refining and phase diagrams

1. Jan 25, 2016

### twohaha

1. The problem statement, all variables and given/known data

From Ashby's "Engineering Materials"

2. Relevant equations
$k=C_o/C_s=m_1/m_2$

3. The attempt at a solution
Solving for k
$m_1=(660-548)/(0-32)=-3.5$
$m_2=(660-548)/(0-7)=-16$
$k=m_1/m_2=0.219$

$C_s=C_o*(1-(1-0.219)exp(-xL/0.219))$

How do I proceed from there? Also, how do I incorporate the $C_l$ term in the equation?

Thanks!

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2. Jan 30, 2016