# gas liquid contact in stripping column

by RAfAEL_SP
Tags: stripping gas water
 P: 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).
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Thanks
PF Gold
P: 26,127
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! )
 Quote by c $$\frac{x[Ain]-x[Aout][/SUB][/SUB]}{x[Ain]-x[out][/SUB][/SUB]}$$=$$\frac{\sum s^{K}-1}{\sum s^K}$$ (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).
I think you mean $$\frac{\sum s^{K-1}}{\sum s^K}$$
Then eg the denominator is (∑sK)/(1 - S)
 P: 2 The exponent is just k

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