An absorption column operating at 1.0 [atm] and 36 [C] is to be designed to remove carbon disulfide (CS2, component 1) from a gaseous binary mixture containing 93% nitrogen. For design purposes, assume that the flow rate of this binary gaseous mixture is 2.50 [kmol/min] and that 89% of carbon disulfide should be removed. Assume also that the octadecane will enter the column at the above temperature and pressure and that temperature and pressure variations can be ignored. Design for a liquid flow rate equal to 1.5 times the minimum value. Solutions of octadecane and carbon disulfide are nearly ideal and therefore, Raoults law can be used to solve this problem. The vapor pressure of carbon disulfide at the temperature of the problem is 550 [torr].

The molar mass of the octadecane is 0.2545 [kg/mol]. The carbon disulfide vapor pressure at the problem temperature is 550 [torr] and its molar mass is 76.1 [g/mol]. Nitrogen has a molar mass of 0.028 [kg/mol].

Requirements: Please, do the following preliminary calculations:

(1) The following for the entering gaseous stream: Mole fraction of CS in this stream: Answer [] Mole ratio of CS in this stream: Answer [] CS-free, molar flow rate of nitrogen in this stream: Answer[mol/s]

(2) The following for the outgoing (exit) gaseous stream: CS-free, molar flow rate of nitrogen in this stream: Answer [mol/s] CS-to-nitrogen mole ratio in this stream: Answer []

(3) The CS-to-octadecane mole ratio for the following liquid streams at the so-called pinch point conditions (6 points each): The entering liquid stream: Answer [] The outgoing (exit) liquid stream: Answer []

(4) The CS-to-octadecane mole ratio for the following liquid streams at the operating conditions: The entering liquid stream: Answer [] The outgoing (exit) liquid stream: Answer []

(5) The CS mole fraction in the following liquid streams at the operating conditions: The entering liquid stream: Answer [] The outgoing (exit) liquid stream: Answer []

(6) The total mass flow rates of the bottom streams: In the entering gas stream: Answer [kg/s] In the outgoing (exit) liquid stream: Answer [kg/s]