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(a) Write the mass balance for CaCl2in water if the species areCa2+ andCI- .

(b) Write the mass balance if the species areCa2+,CI-,CaCI+ , andCaOH+

(c) Write the charge balance for part (b).

Short Answer

Expert verified

(a) The mass balance of the process is given by by definition CI-=2Ca2+

(b) The process's mass balance is determined by

CI-+CaCI+speciescontainieCI-=2Ca2++CaCI++CaOH+speciescontainingCa2+

(c) On the basis of electroneutrality, charge balance:

CI-+OH-=2Ca2++CaCI++CaOH++H+

Step by step solution

01

Definition of mass balance

  • According to a mass balance, approximately 85 percent of the lead was returned to the smelter, while 15 percent was removed with the calcium arsenate precipitate.
  • A mass balance is a method of calculating the total amount of material used in a process.
  • A consideration of the input, output, and distribution of a substance amongst streams in a process or stage is known as mass balance.
02

Determine the mass balance

The mass equilibrium forCaCI2It is necessary to provide water..

The mass balances for each species must be provided.

Mass balance:

All species in a solution containing a certain atom (or group of atoms) must be equal to the amount of that atom (or group) given to the solution.

(a)

If you are given information,CaCI2 in the water

Species:Ca2+,CI-Mass balance:

The mass balance of the process is given by by definition.

CI-=2Ca2+

03

Determine the mass balance if the species are Ca2+,CI-,CaCI+, and CaOH+

(b)

If you are given information,

Species:Ca2+,CI-,CaCI+andCaOH+and

By definition, the process's mass balance is determined by

CI-+CaCI+speciescontainieCI-=2Ca2++CaCI++CaOH+speciescontainingCa2+

04

Determine the  charge balance for part (b).

(c)

It is necessary to provide the charge balance for the species listed in item (b).

Charge balance is achieved when the total positive charges in a solution are equal to the total negative charges in the solution

n1C1+n2C2+......=m1A1+m2A2+......

where,[C] -concentration of a cation and n-charge of the cation.

m-magnitude of an anion's charge and [A]-concentration of an anion.

Given the facts,Species:Ca2+,CI-,CaCI+andCaOH+

On the basis of electroneutrality, charge balance:

CI-+OH-=2Ca2++CaCI++CaOH++H+

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Most popular questions from this chapter

Write the charge balance for an aqueous solution of arsenic acid, H3AsO4, in which the acid can disassociate to role="math" localid="1654936423245" H3AsO-4,HAsO42-,andAsO43-. Look up the structure of arsenic acid in Appendix G and write the structure ofHAsO2-4

(a) Ion Pairing . As in problem 8-30, find the concentration, ionic strength, and ion pair fraction in 0.025FMgSO4

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Ammonia Equilibrium treated by solver. We now use the solve spreadsheet introduced in Figure 8 - 9 for TIN3 solubility to find the concentration of species in 0.01 M ammonia solution, neglecting activity coefficient. In the systematic treatment of equilibrium of NH3hydrolysis, we have four unknowns (NH3,[NH4+],H+,OH-) and two equilibrium (8-13) , (8-14). Therefore we will estimate the concentration of 4unknowns - 2equilibirum = 2species, for which I choose localid="1663566766281" NH+andOH-. Setup the spreadsheet shown below, in which the estimate localid="1663566820791" pNH4+=3.pOH-= 3 appears in B6andB7 . (Estimates comes from the Kbequilibrium 8-17 with [NH4+]=[OH-]=Kb[NH3]10-4.755[0.01]pNH4+=pOH-3. Estimate donot have to be very good for Solver to work. The formula in cell C8 is [NH3]=[NH4+].

[OH-]/Kb and the formula in the cell C9 is [H+]=Kw/[OH-]. The mass balance b1appears in cell F6 and the charge balance b2 appears in cell F7 . Cell F8 has the sum b12+b22. As described for TIN3on page 176, open the solver window and set the Solver Option. Then use the Solver to set the target cell F8 Equal to Min by changing cells B6 : B7 . What are the concentrations of the species? What fraction of ammonia (=NH4+/NH4++NH3) is hydrolyzed. Your answer should agree with those from Goal Seek in Figure 8-8

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