
Concept explainers
(a)
Interpretation:
Mass of each ion found in 100 mL of 1.25 M CuBr2 has to be calculated.
Concept Introduction:
Molarity is quantitatively defined as moles of solute in one liter of solution. For example, 0.070 M AlCl3 indicates that in 1 L the moles of AlCl3 is 0.070 mol. The expression to evaluate mass is as follows:
Mass=(Number of moles)(Molar Mass)
(a)

Explanation of Solution
CuBr2 can be broken into 1 mol Cu2+ and 2 mol Br− as follows:
CuBr2⇌Cu2++2Br−
Since 1 M Cu2+ is furnished by 1 M CuBr2 so molarity of Cu2+ ion due to 1.25 M CuBr2 is calculated as follows:
Molarity of Cu2+=(1.25 M CuBr2)(1 M Cu2+1 M CuBr2)=1.25 M Cu2+
Since 2 M Br− is furnished by 1 M CuBr2 so molarity of Br− ions due to 1.25 M CuBr2 is calculated as follows:
Molarity of Br−=(1.25 M CuBr2)(2 M Br−1 M CuBr2)=2.5 M Br−
1.25 M Cu2+ indicates that in 1000 mL the moles of Cu2+ is 2.5 mol thus moles of Cu2+ in 100 mL is calculated as follows:
Moles of Cu2+=(100 mL)(1.25 mol1000 mL)=0.125 mol
2.5 M Br− indicates that in 1000 mL the moles of Br− is 2.5 mol thus moles of Br− in
100 mL is calculated as follows:
Moles of Br−=(100 mL)(2.5 mol1000 mL)=0.25 mol
The expression to evaluate mass is as follows:
Mass=(Number of moles)(Molar Mass) (1)
Substitute 0.25 mol for number of moles and 79.904 g/mol for molar mass of Br− in equation (1).
Mass=(25 mol)(79.904 g/mol)=19.976 g
Substitute 0.125 mol for number of moles and 63.546 g/mol for molar mass of Cu2+ in equation (1).
Mass=(0.125 mol)(63.546 g/mol)=7.94 g
Thus, mass of Cu2+ and Br− are 7.94 g and 19.976 g respectively.
(b)
Interpretation:
Mass of each ion found in 100 mL of 3.50 M K3AsO4 has to be calculated.
Concept Introduction:
Refer to part (a).
(b)

Explanation of Solution
K3AsO4 can be broken into 3 mol K+ and 1 mol AsO4− as follows:
K3AsO4⇌3K++AsO4−
Since 3 M K+ is furnished by 1 M AlCl3 so molarity of K+ ions due to 3.50 M K3AsO4 is calculated as follows:
Molarity of K+=(3.50 M K3AsO4)(3 M K+1 M K3AsO4)=10.5 M K+
Since 1 M AsO4− is furnished by 1 M K3AsO4 so molarity of AsO4− ion due to 3.50 M K3AsO4 is calculated as follows:
Molarity of AsO4−=(3.50 M K3AsO4)(1 M AsO4−1 M K3AsO4)=3.50 M AsO4−
10.5 M K+ indicates that in 1000 mL the moles of K+ is 10.5 mol thus moles of K+ in 100 mL is calculated as follows:
Moles of K+=(100 mL)(10.5 mol1000 mL)=1.05 mol
3.50 M AsO4− indicates that in 1000 mL moles of AsO4− is 3.5 mol thus moles of AsO4− in 100 mL is calculated as follows:
Moles of Br−=(100 mL)(3.50 mol1000 mL)=0.35 mol
Substitute 1.05 mol for number of moles and 39.098 g/mol for molar mass of K+ in equation (1).
Mass=(1.05 mol)(39.098 g/mol)=41.053 g
Substitute 0.35 mol for number of moles and 138.919 g/mol for molar mass of AsO4− in equation (1).
Mass=(0.35 mol)(138.919 g/mol)=48.621 g
Thus, mass of K+ and AsO4− are 41.053 g and 48.621 g respectively.
(c)
Interpretation:
Mass of each ion found in 100 mL of 0.75 M NaHCO3 has to be calculated.
Concept Introduction:
Refer to part (a).
(c)

Explanation of Solution
NaHCO3 can be broken into 1 mol Na+ and 1 mol HCO3− as follows:
NaHCO3⇌Na++HCO3−
Since 1 M Na+ is furnished by 1 M NaHCO3 so molarity of Na+ ions due to 0.75 M NaHCO3 is calculated as follows:
Molarity of Na+=(0.75 M NaHCO3)(1 M Na+1 M NaHCO3)=0.75 M Na+
Since 1 M HCO3− is furnished by 1 M NaHCO3 so molarity of HCO3− ions due to 0.75 M NaHCO3 is calculated as follows:
Molarity of HCO3−=(0.75 M NaHCO3)(1 M HCO3−1 M NaHCO3)=0.75 M HCO3−
0.75 M Na+ indicates that in 1000 mL the moles of Na+ is 0.75 mol thus moles of Na+K+ in 100 mL is calculated as follows:
Moles of Na+=(100 mL)(0.75 mol1000 mL)=0.075 mol
0.75 M HCO3− indicates that in 1000 mL moles of HCO3− is 0.75 mol thus moles of HCO3− in 100 mL is calculated as follows:
Moles of HCO3−=(100 mL)(0.75 mol1000 mL)=0.075 mol
Substitute 0.075 mol for number of moles and 22.989 g/mol for molar mass of Na+ in equation (1).
Mass=(0.075 mol)(22.989 g/mol)=1.724 g
Substitute 0.075 mol for number of moles and 61.0168 g/mol for molar mass of HCO3− in equation (1).
Mass=(0.35 mol)(61.0168 g/mol)=21.355 g
Thus in 100 mL mass of Na+ and HCO3− are 1.724 g and 21.355 g respectively.
(d)
Interpretation:
Mass of each ion found in 100 mL of 0.65 M (NH4)2SO4 has to be calculated.
Concept Introduction:
Refer to part (a).
(d)

Explanation of Solution
(NH4)2SO4 can be broken into 2 mol NH4+ and 1 mol SO42− as follows:
(NH4)2SO4⇌2NH4++SO42−
Since 2 M NH4+ is furnished by 1 M (NH4)2SO4 so molarity of NH4+ ions due to 0.65 M (NH4)2SO4 is calculated as follows:
Molarity of NH4+=(0.65 M (NH4)2SO4)(2 M NH4+1 M (NH4)2SO4)=1.3 M NH4+
Since 1 M SO42− is furnished by 1 M (NH4)2SO4 so molarity of SO42− ion due to 0.65 M (NH4)2SO4 is calculated as follows:
Molarity of SO42−=(0.65 M (NH4)2SO4)(1 M SO42−1 M (NH4)2SO4)=0.65 M SO42−
1.3 M NH4+ indicates that in 1000 mL the moles of NH4+ is 1.3 mol thus moles of NH4+ in 100 mL is calculated as follows:
Moles of NH4+=(100 mL)(1.3 mol1000 mL)=0.13 mol
0.65 M SO42− indicates that in 1000 mL moles of SO42− is 0.65 mol thus moles of SO42− in 100 mL is calculated as follows:
Moles of HCO3−=(100 mL)(0.65 mol1000 mL)=0.065 mol
Substitute 0.13 mol for number of moles and 18.039 g/mol for molar mass of NH4+ in equation (1).
Mass=(0.13 mol)(18.039 g/mol)=2.345 g
Substitute 0.65 mol for number of moles and 96.06 g/mol for molar mass of SO42− in equation (1).
Mass=(0.65 mol)(96.06 g/mol)=62.439 g
Thus mass of NH4+ and SO42− are 2.345 g and 62.439 g respectively.
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