
Interpretation:
The pair of combination that produces a greater mass of the solid product is to be determined.
Concept introduction:
In a precipitation reaction, two ionic compounds in a solution react to form an insoluble compound, which is called the precipitate.
The formation of the precipitate can be predicted by using solubility rules.
The mass of the precipitate can be determined from the stoichiometry of the reaction.

Answer to Problem 91QP
Solution:
(a) Combination 1
(b) Combination 2
(c) Combination 2
Explanation of Solution
a)
Combination 1: 105.5 mL 1.508 M Pb(NO3)2and 250.0 mL 1.2075 M KCl
Combination 2: 138.5 mL 1.469 M Pb(NO3)2and 100.0 mL 2.115 M KCl
In Combination 1:
The precipitation reaction between lead nitrate and potassium chloride is as follows:
2KCl(aq)+Pb(NO3)2(aq)→PbCl2(s)+2KNO3(aq)
From the above balanced equation, one mole of Pb(NO3)2 reacts with two moles of KCl.
First, calculate the number of moles of Pb(NO3)2 using the given volume and concentration:
Moles of Pb(NO3)2= 1.508 M×0.1055 L=0.159094 mol
Now, calculate the number of moles of KCl.
Moles of KCl = 1.2075 M×0.250 L=0.301875 mol
Hence, KCl is a limiting reagent that determines the amount of PbCl2 formed.
Moles of PbCl2 = mol KCl×1 mol PbCl22 mol KCl=0.301875 mol×1 mol PbCl22 mol KCl=0.150938 mol
Convert moles to grams by multiplying the moles with the molar mass of PbCl2
Mass of PbCl2 = 0.150938 mol×278.1 g/mol PbCl2 = 41.98 g
Hence, the mass of the PbCl2 formed is 41.98 g.
In Combination 2,
Calculate the number of moles of Pb(NO3)2 using the given volume and concentration
Moles of Pb(NO3)2 = 1.469 M×0.1385 L=0.203457 mol
Now, calculate the number of moles of KCl.
Moles of KCl = 2.115 M×0.100 L=0.2115 mol
KCl is a limiting reagent that determines the amount of PbCl2 formed.
Moles of PbCl2 = mol KCl×1 mol PbCl22 mol KCl=0.2115 mol×1 mol PbCl22 mol KCl=0.10575 mol
Now convert the number of moles to grams by multiplying the number of moles with the molar mass of PbCl2
g PbCl2= 0.10575 mol×278.1 g/mol PbCl2 = 29.41 g
Hence, the mass of the PbCl2 formed is 29.41 g.
Therefore, combination 1 will produce a greater mass of the product.
b)
Combination 1: 32.25 mL 0.9475M Na3PO4 and 92.75 mL 0.7750M Ca(NO3)2
Combination 2: 52.50 mL 0.6810M Na3PO4 and 39.50 mL 1.555M Ca(NO3)2
Combination 1:
The precipitation reaction between sodium phosphate and calcium nitrate is as follows:
2Na3PO4(aq)+3Ca(NO3)2(aq)→Ca3(PO4)2(s)+6NaNO3(aq)
From the above balanced equation, two moles of Na3PO4 react with three moles of Ca(NO3)2.
First, calculate the number of moles of Na3PO4 using the given volume and concentration:
Moles of Na3PO4= 0.9475 M×0.03225 L=0.030557 mol
Now, calculate the number of moles of Ca(NO3)2:
Moles of Ca(NO3)2= 0.7750 M×0.09275 L=0.071881 mol
Here, Na3PO4 is a limiting reagent that determines the amount of product formed.
Moles of Ca3(PO4)2 = mol Na3PO4×1 mol Ca3(PO4)22 mol Na3PO4 =0.030557 mol×1 mol Ca3(PO4)22 mol Na3PO4 =0.015279 mol
Convert the number of moles to grams by multiplying the number of moles with the molar mass of Ca3(PO4)2:
Mass of Ca3(PO4)2 = 0.015279 mol × 310.18 g/mol Ca3(PO4)2= 4.74 g
Hence, the mass of the Ca3(PO4)2 formed is 4.74 g.
Combination 2:
Calculate the number of moles of Na3PO4 using the given volume and concentration:
Moles of Na3PO4 = 0.6810 M × 0.05250 L=0.0357525 mol
Now, calculate the number of moles of Ca(NO3)2:
Moles of Ca(NO3)2= 0.7750 M×0.09275 L=0.0614225 mol
Here, Na3PO4 is a limiting reagent that determines the amount of product formed.
Moles of Ca3(PO4)2 = mol Na3PO4×1 mol Ca3(PO4)22 mol Na3PO4 =0.0357525 mol×1 mol Ca3(PO4)22 mol Na3PO4 =0.01787625 mol
Convert the number of moles to grams by multiplying the number of moles with the molar mass of Ca3(PO4)2:
g Ca3(PO4)2= 0.01787625 mol × 310.18 g/mol Ca3(PO4)2= 5.54 g
Hence, the mass of the Ca3(PO4)2 formed is 5.54 g.
Therefore, combination 2 produces a greater mass of the product.
c)
Combination 1: 29.75 mL 1.575 M AgNO3 and 25.00 mL 2.010 M BaCl2
Combination 2: 52.80 mL 2.010 M AgNO3 and 73.50 mL 0.7500 M BaCl2
Combination 1:
The precipitation reaction between silver nitrate and barium chloride is as follows:
BaCl2(aq)+2AgNO3(aq)→2AgCl(s)+Ba(NO3)2(aq)
From the above balanced equation, one mole of BaCl2 reacts with two moles of AgNO3.
First, calculate the number of moles of BaCl2 using the given volume and concentration:
Moles of BaCl2 = 2.010 M×0.0250 L=0.05025 mol
Now, calculate the number of moles of AgNO3.
Moles of AgNO3 = 1.575 M×0.02975 L=0.0468563 mol
Hence, AgNO3 is a limiting reagent that determines the amount of AgCl formed.
Moles of AgCl = mol AgNO3×2 mol AgCl2 mol AgNO3=0.0468563 mol AgNO3×2 mol AgCl2 mol AgNO3=0.0468563 mol
Convert the number of moles to grams by multiplying the number of moles with the molar mass of AgCl:
g AgCl = 0.0468563 mol × 143.32 g/mol AgCl = 6.72 g
Hence, the mass of the AgCl formed is 6.72 g.
Combination 2:
Calculate the number of moles of BaCl2 using the given volume and concentration:
Moles of BaCl2 = 0.7500 M×0.07350 L=0.055125 mol
Now, calculate the number of moles of AgNO3.
Moles of AgNO3 = 2.010 M×0.05280 L=0.106128 mol
Hence, AgNO3 is a limiting reagent that determines the amount of AgCl formed.
Moles of AgCl = mol AgNO3×2 mol AgCl2 mol AgNO3=0.106128 mol AgNO3×2 mol AgCl2 mol AgNO3=0.106128 mol
Convert the number of moles to grams by multiplying the number of moles with the molar mass of AgCl:
g AgCl = 0.106128 mol×143.32 g/mol AgCl = 15.21 g
Hence, the mass of the AgCl formed is 15.21 g.
Therefore, combination 2 produces a greater mass of the product.
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