# Gas liquid contact in stripping column

1. ### RAfAEL_SP

2
$\frac{x[Ain]-x[Aout][/SUB][/SUB]}{x[Ain]-x[out][/SUB][/SUB]}$=$\frac{\sum s^{K}-1}{\sum s^K}$ (1)

for k = 0 to n

Final result:

$\frac{x[Ain]-x[Aout][/SUB][/SUB]}{x[Ain]-x[/SUB][/SUB]}$ = $\frac{{S-S^{n+1}}}{1-S^{n+1}}$

(2)

Does anyone know how to get from (1) to (2).

2. ### tiny-tim

26,041
Welcome to PF!

Hi RAfAEL_SP! Welcome to PF!

(use _ not SUB in latex, and use tex rather than itex for fractions that ou don;t want to be too tiny! )
I think you mean $$\frac{\sum s^{K-1}}{\sum s^K}$$
Then eg the denominator is (∑sK)/(1 - S)

3. ### RAfAEL_SP

2
The exponent is just k

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