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.)