(a)
Interpretation:
Volume of solution that is prepared using 2.111 g of sodium carbonate in 250.0 mL solution that student need to transfer in order to obtain 2.15 mmol Na+ has to be given.
Concept Introduction:
Molarity of the solution is defined as the number of moles of solute that is dissolved in the volume of solution in liters. Unit of molarity is mol⋅L−1. The equation for molarity is given as follows;
Molarity (M)=Amount of solute in molesVolume of solution in liters
(a)

Answer to Problem G.5E
Volume of sodium carbonate solution is 13.44 mL.
Explanation of Solution
Mass of sodium carbonate dissolved is given as 2.111 g. Molar mass of sodium carbonate is 106 g⋅mol−1. Formula of sodium carbonate is Na2CO3. Number of moles of sodium carbonate in 2.111 g is calculated as shown below;
n=mM=2.111 g106 g⋅mol−1=0.020 mol
Volume of solution is given as 250 mL. Number of moles of sodium carbonate is calculated as 0.020 mol. Therefore, Molarity of the sodium carbonate solution is calculated as shown below;
Molarity (M)=0.020 mol0.250 L=0.08 M
Therefore, the molarity of the sodium carbonate solution is 0.08 M.
Required solution has 2.15 mmol of Na+ ion. One mole of sodium carbonate gives two moles of Na+. Therefore, the number of moles of sodium carbonate that has to be taken in order to obtain 2.15 mmol of Na+ ion is shown below;
n(NaCO3)=2.15×10−3 mol2=1.075×10−3 mol
Molarity of the sodium carbonate solution is calculated as 0.08 M. Therefore, the volume of sodium carbonate solution that is required to obtain 2.15 mmol of Na+ is calculated as shown below;
Volume of solution(V)=n(Na2CO3)Molarity=1.075×10−3 mol0.08 M=13.44 mL
Therefore, the volume of sodium carbonate solution is 13.44 mL.
(b)
Interpretation:
Volume of solution that is prepared using 2.111 g of sodium carbonate in 250.0 mL solution, that student need to transfer in order to obtain 4.98 mmol CO2−3 has to be given.
Concept Introduction:
Refer part (a).
(b)

Answer to Problem G.5E
Volume of sodium carbonate solution is 62.25 mL.
Explanation of Solution
Mass of sodium carbonate dissolved is given as 2.111 g. Molar mass of sodium carbonate is 106 g⋅mol−1. Formula of sodium carbonate is Na2CO3. Number of moles of sodium carbonate in 2.111 g is calculated as shown below;
n=mM=2.111 g106 g⋅mol−1=0.020 mol
Volume of solution is given as 250 mL. Number of moles of sodium carbonate is calculated as 0.020 mol. Therefore, Molarity of the sodium carbonate solution is calculated as shown below;
Molarity (M)=0.020 mol0.250 L=0.08 M
Therefore, the molarity of the sodium carbonate solution is 0.08 M.
Required solution has 4.98 mmol of CO2−3 ion. One mole of sodium carbonate gives one mole of CO2−3. Therefore, the number of moles of sodium carbonate that has to be taken in order to obtain 4.98 mmol of CO2−3 ion is shown below;
n(NaCO3)=4.98×10−3 mol1=4.98×10−3 mol
Molarity of the sodium carbonate solution is calculated as 0.08 M. Therefore, the volume of sodium carbonate solution that is required to obtain 4.98 mmol of CO2−3 is calculated as shown below;
Volume of solution(V)=n(Na2CO3)Molarity=4.98×10−3 mol0.08 M=62.25 mL
Therefore, the volume of sodium carbonate solution is 62.25 mL.
(c)
Interpretation:
Volume of solution that is prepared using 2.111 g of sodium carbonate in 250.0 mL solution, that student need to transfer in order to obtain 50.0 mg of Na2CO3 has to be given.
Concept Introduction:
Refer part (a).
(c)

Answer to Problem G.5E
Volume of sodium carbonate solution is 5.89 mL.
Explanation of Solution
Mass of sodium carbonate dissolved is given as 2.111 g. Molar mass of sodium carbonate is 106 g⋅mol−1. Formula of sodium carbonate is Na2CO3. Number of moles of sodium carbonate in 2.111 g is calculated as shown below;
n=mM=2.111 g106 g⋅mol−1=0.020 mol
Volume of solution is given as 250 mL. Number of moles of sodium carbonate is calculated as 0.020 mol. Therefore, Molarity of the sodium carbonate solution is calculated as shown below;
Molarity (M)=0.020 mol0.250 L=0.08 M
Therefore, the molarity of the sodium carbonate solution is 0.08 M.
Mass of sodium carbonate that has to be present in the solution is given as 50.0 mg. Molar mass of sodium carbonate is 106 g⋅mol−1. Number of moles of sodium carbonate in 50.0 mg is calculated as shown below;
n=mM=50 mg106 g⋅mol−1=0.471×10−3 mol
The volume of solution that is needed to obtain 50.0 mg of sodium carbonate is given as follows;
Volume of solution(V)=n(Na2CO3)Molarity=0.471×10−3 mol0.08 M=5.89 mL
Volume of sodium carbonate solution is 5.89 mL.
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Chapter F Solutions
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