Calculate the total mass of chlorine (kg) in the chlorine absorber tank, assuming ideal gas behavior in the head space. (Suggestion: Take as a basis of calculation a specified mass of slurry, calculate the volume your basis amount would occupy and the mass of chlorine it would contain, and scale the results to the actual volume of the slurry in the tank calculated in Problem 12.11. Then calculate the mass of chlorine in the head space.)

Problem 12.11

The slurry occupies 70% of the total tank volume and the head space occupies the remaining 30%. The mean residence time of the slurry in the tank (which equals the volume of the slurry in the tank divided by the volumetric flow rate of the stream leaving the tank) is 12 minutes. Use this information, the quantities calculated in Problem 12.9, and the specific volume data given below to estimate the volume (m³) of slurry in the tank, the head space volume, and the total tank volume.

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Specific volume of PVC = 0.709 L/kg Specific volume of liquid water = 1.00 L/kg Specific volume of dissolved chlorine (in either PVC or water) = 0.690 L/(kg dissolved)