A mixed acid containing 25 %wt H2SO4, 55 %wt HNO3, and 20 %wt H2O is made by blending the following acids: Solution A: concentrated HNO3 containing 90 %wt HNO3 and 5 %wt H2O Solution B: concentrated H2SO4 containing 70 %wt H2SO4 and 30 %wt H2O Solution C: waste acid containing 18 %wt H2SO4, 50 %wt HNO3 and 32 %wt H2O Formulate the system of equations generated by this mixing problem. Using the LU Decomposition method, determine how much of each solution (in kilograms) is needed to obtain 2500 m3 of the mixed acid with a specific gravity of 1.47.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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***Solution A: concentrated HNO3 containing 90%wt HNO3 and 10%wt H2O

A mixed acid containing 25 %wt H2SO4, 55 %wt HNO3, and 20 %wt H2O is made by
blending the following acids:
Solution A: concentrated HNO3 containing 90 %wt HNO3 and 5 %wt H2O
Solution B: concentrated H2SO4 containing 70 %wt H2SO4 and 30 %wt H2O
Solution C: waste acid containing 18 %wt H2SO4, 50 %wt HNO3 and 32 %wt H2O
Formulate the system of equations generated by this mixing problem. Using the LU
Decomposition method, determine how much of each solution (in kilograms) is needed to
obtain 2500 m³ of the mixed acid with a specific gravity of 1.47.
Transcribed Image Text:A mixed acid containing 25 %wt H2SO4, 55 %wt HNO3, and 20 %wt H2O is made by blending the following acids: Solution A: concentrated HNO3 containing 90 %wt HNO3 and 5 %wt H2O Solution B: concentrated H2SO4 containing 70 %wt H2SO4 and 30 %wt H2O Solution C: waste acid containing 18 %wt H2SO4, 50 %wt HNO3 and 32 %wt H2O Formulate the system of equations generated by this mixing problem. Using the LU Decomposition method, determine how much of each solution (in kilograms) is needed to obtain 2500 m³ of the mixed acid with a specific gravity of 1.47.
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