Therefore, the rectifying section component balance line intersects the 45® diagonal line at the point x - xD and x = yD for a total and partial condenser, respectively. The intersection point can be expressed as x = y = product composition (2.21)
A similar derivation for the stripping section shows that the stripping section component balance line intersects the 45° diagonal line at the point x = y = bottom product composition (2.22)
Intersection of the two-component balance (operating) lines. Intersection takes place at a point (;t„_y,) that satisfies both Eqs. (2.9) and (2.10). Multiplying both sides of Eq. (2.9) by V and both sides of (2.10) by V and subtracting one from the other yields
Using Eq. (2.15), this simplifies to
Dividing both sides of Eq. (2.14) by F, and substituting Eq. (2.25), gives
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