You are asked to mix two aqueous sulfuric acid (H2SO4) solutions. The first solution contains 20.0 wt% H2SO4 (with a specific gravity = 1.139). The second solution contains 60.0 wt% H2S04 (with a specific gravity = 1.498). The product solution has a specific gravity of 1.213 and a concentration of 4 M.

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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1. **Problem Statement:**
   You are tasked with mixing two aqueous sulfuric acid (H₂SO₄) solutions. The first solution contains 20.0 wt% H₂SO₄ with a specific gravity of 1.139. The second solution contains 60.0 wt% H₂SO₄ with a specific gravity of 1.498. The product solution has a specific gravity of 1.213 and a concentration of 4 M.

   **Tasks:**

   (a) Prepare a diagram to describe the process. Clearly label overall flow rate and (mass) fractions of each component for each stream.

   (b) Calculate the mass fraction of sulfuric acid in the product solution (Hint: this is calculated by the solution’s concentration, sulfuric acid’s molecular weight, and solution’s density).

   (c) Set a basis of your calculation.

   (d) Perform degree of freedom (DOF) analysis. How many unknowns and how many total and independent equations are in the system?

   (e) Write down all the equations you lay out for solving the problem during the DOF analysis.

   (f) Solve all the unknowns and use the unused equation to check your answers.

   (g) What is the volumetric feed ratio between the 20% solution and the 60% solution?

   (h) What feed rate of the 60% solution (in L/h) is needed to produce 1250 kg/h of product solution?
Transcribed Image Text:1. **Problem Statement:** You are tasked with mixing two aqueous sulfuric acid (H₂SO₄) solutions. The first solution contains 20.0 wt% H₂SO₄ with a specific gravity of 1.139. The second solution contains 60.0 wt% H₂SO₄ with a specific gravity of 1.498. The product solution has a specific gravity of 1.213 and a concentration of 4 M. **Tasks:** (a) Prepare a diagram to describe the process. Clearly label overall flow rate and (mass) fractions of each component for each stream. (b) Calculate the mass fraction of sulfuric acid in the product solution (Hint: this is calculated by the solution’s concentration, sulfuric acid’s molecular weight, and solution’s density). (c) Set a basis of your calculation. (d) Perform degree of freedom (DOF) analysis. How many unknowns and how many total and independent equations are in the system? (e) Write down all the equations you lay out for solving the problem during the DOF analysis. (f) Solve all the unknowns and use the unused equation to check your answers. (g) What is the volumetric feed ratio between the 20% solution and the 60% solution? (h) What feed rate of the 60% solution (in L/h) is needed to produce 1250 kg/h of product solution?
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