Hydrofluoric acid (HF) can be manufactured by treating calcium fluoride (CaF2) with sulfuric acid (H2SO4). A sample of fluorspar (the raw material) contains 75% by weight CaF2 and 25% inert (non-reacting) materials. The pure sulfuric acid used in the process is in 30% excess of that theoretically required. Most of the manufactured HF leaves the reaction chamber as a gas, but a solid cake is also removed from the reaction chamber that contains 5% of all the HF formed, plus CaSO4, inerts, and unreacted sulfuric acid. How many kilograms of cake are produced per 100 kg of fluorspar charged to the process? Assume complete conversion of the limiting reactant.