To obtain HF gas, fluorite ore (96.0 wt% CaF_2 and 4.00 wt% SiO_2) can be treated with sulfuric acid to form calcium sulfate and HF: CaF_2 + H_2SO_4 (1) However, the HF gas formed can react with the SiO_2 in the ore in an undesired side reaction: 6HF + SiO_2 rightarrow H_2SiF_6 + 2H_2O (2) These reactions take place in a continuous flow reactor. The feed streams are 50.0 kg/h of fluorite ore and 80.0 kg/h of a concentrated sulfuric acid solution (93.0 wt% H_2SO_4). For reaction (1), what is the percent excess of the non-limiting reactant? Determine the number of degrees of freedom. Show your work. The percent conversion of CaF_2 is 90.0%. The selectivity of CaSO_4 relative to H_2SiF_6 is 9.00 mol/1.00 mol. Use atomic balances to determine the molar flow rate of the CaSO_4 stream leaving the reactor and the molar flow rate of the HF gas stream leaving the reactor. In a second unit, the gaseous hydrofluoric acid is bubbled through water to produce a 1.50 M solution of hydrofluoric acid. What volumetric flow rate of water is required? (Assume that the volume of HF is negligible relative to the volume of water in the solution.)