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Calculate specific gravity of slurry, with known solids mass concentration, using Cw, S and Sw,
Slurry specific gravity
$$ S_{m_w} = {{S_w \over \left({ 1 - \left({ {C_w \over 100 }}\right) \cdot \left({ 1 - {S_w \over S }}\right) }\right)}}
\; \;
$$