Sulfur mole-mass relationship

STRATEGIZE The conceptual plan follows the standard format of mass — amount (in moles) — amount (in moles) — mass. Since the original quantity of SO2 is given in kg, you must first convert to grams. You can deduce the relationship between moles of sulfur dioxide and moles of sulfuric acid from the chemical equation. Since the final quantity is requested in kg, convert to kg at the end. 

The sulfur dioxide content of a gas stream is lowered by 90% by scrubbing with water in a countercurrent packed column. The column is 1.25 m in diameter and 5 m in height. The gas rate is 500 kmol/h, and the inlet sulfur dioxide concentration is 2% mole. The column was designed such that the sulfur dioxide concentration in the bottoms does not exceed 0.04% mole. Determine the required water rate, the number of gas-phase transfer units, the height of the gas-phase transfer unit, and the mass transfer coefficient KyU. The equilibrium relationship for sulfur dioxide is given as Y = 38X. 

In a strict sense, 1 mol is a specific number of particles. However, in chemistry it is customary to follow the useful practice of also letting 1 mol stand for the mass of a sample of element or compound that contains Avogadro s number of particles. Thus, the application of the mole concept to sulfur (at. wt. = 32.1 u) gives the following relationships ... 

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