3. To obtain HF gas, fluorite ore (96.0 wt% CaF2 and 4.00 wt% SiO₂) can be treated with sulfuric acid to form calcium sulfate and HF: CaF₂ + H₂SO4 CaSO4 + 2HF (1) However, the HF gas formed can react with the SiO2 in the ore in an undesired side reaction: 6HF + SiO₂ → H₂SiF6 + 2H₂O (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% H₂SO4). (a) For reaction (1), what is the percent excess of the non-limiting reactant? (b) Determine the number of degrees of freedom. Show your work. (c) The percent conversion of SiO₂ is 100.0%. The selectivity of CaSO4 relative to H₂SiF6 is 9.00 mol/1.00 mol. Use atomic balances to determine the molar flow rate of the CaSO4 stream leaving the reactor and the molar flow rate of the HF gas stream leaving the reactor. (d) 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.)
3. To obtain HF gas, fluorite ore (96.0 wt% CaF2 and 4.00 wt% SiO₂) can be treated with sulfuric acid to form calcium sulfate and HF: CaF₂ + H₂SO4 CaSO4 + 2HF (1) However, the HF gas formed can react with the SiO2 in the ore in an undesired side reaction: 6HF + SiO₂ → H₂SiF6 + 2H₂O (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% H₂SO4). (a) For reaction (1), what is the percent excess of the non-limiting reactant? (b) Determine the number of degrees of freedom. Show your work. (c) The percent conversion of SiO₂ is 100.0%. The selectivity of CaSO4 relative to H₂SiF6 is 9.00 mol/1.00 mol. Use atomic balances to determine the molar flow rate of the CaSO4 stream leaving the reactor and the molar flow rate of the HF gas stream leaving the reactor. (d) 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.)
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![3. To obtain HF gas, fluorite ore (96.0 wt% CaF₂ and 4.00 wt% SiO₂) can be treated with sulfuric acid to form calcium sulfate and HF:
\[ \text{CaF}_2 + \text{H}_2\text{SO}_4 \rightarrow \text{CaSO}_4 + 2\text{HF} \quad (1) \]
However, the HF gas formed can react with the SiO₂ in the ore in an undesired side reaction:
\[ 6\text{HF} + \text{SiO}_2 \rightarrow \text{H}_2\text{SiF}_6 + 2\text{H}_2\text{O} \quad (2) \]
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% H₂SO₄).
(a) For reaction (1), what is the percent excess of the non-limiting reactant?
(b) Determine the number of degrees of freedom. Show your work.
(c) The percent conversion of SiO₂ is 100.0%. The selectivity of CaSO₄ relative to H₂SiF₆ is 9.00 mol/1.00 mol. Use atomic balances to determine the molar flow rate of the CaSO₄ stream leaving the reactor and the molar flow rate of the HF gas stream leaving the reactor.
(d) 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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee947789-daea-463b-9456-d1d51e94c581%2F52ef1241-cfc3-4b1a-9777-73859d48fa4f%2F0r0znji_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. To obtain HF gas, fluorite ore (96.0 wt% CaF₂ and 4.00 wt% SiO₂) can be treated with sulfuric acid to form calcium sulfate and HF:
\[ \text{CaF}_2 + \text{H}_2\text{SO}_4 \rightarrow \text{CaSO}_4 + 2\text{HF} \quad (1) \]
However, the HF gas formed can react with the SiO₂ in the ore in an undesired side reaction:
\[ 6\text{HF} + \text{SiO}_2 \rightarrow \text{H}_2\text{SiF}_6 + 2\text{H}_2\text{O} \quad (2) \]
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% H₂SO₄).
(a) For reaction (1), what is the percent excess of the non-limiting reactant?
(b) Determine the number of degrees of freedom. Show your work.
(c) The percent conversion of SiO₂ is 100.0%. The selectivity of CaSO₄ relative to H₂SiF₆ is 9.00 mol/1.00 mol. Use atomic balances to determine the molar flow rate of the CaSO₄ stream leaving the reactor and the molar flow rate of the HF gas stream leaving the reactor.
(d) 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.)
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