Answer: the concentration of the prepared solution is 0.47 M and the concentration of Na+ ions in this solution is 0.97 M.
Step-by-step explanation:
The question requires us to calculate the molar concentration of a prepared sodium carbonate (Na2CO3) solution and the concentration of sodium ions (Na+) in this solution.
The following information was provided by the question:
mass of salt used = m = 5.0 g
volume of solution = V = 100 mL
molar mass of sodium carbonate = MM = 106 g/mol
We can calculate the molar concentration of the solution using the following equation:
where M is the molarity of the solution (in mol/L or M), n is the number of moles (in mol), and V is the volume of solution (in L).
Since the volume was given in mL, we need to convert it to L:
We also need to determine the number of moles of Na2CO3 in 5.0g of this salt:
106 g Na2CO3 ---------------- 1 mol Na2CO3
5.0 g Na2CO3 ----------------- x
Solving for x, we have that there are 0.047 moles of Na2CO3 in 5.0g of this salt.
Now, applying these values to the equation for molar concentration:
Therefore, the concentration of the prepared solution is 0.47 M.
The concentration of Na+ ions can be obtained from the dissociation of Na2CO3:
According to the dissociation equation, each mol of Na2CO3 produces 2 moles of Na+. Therefore, a 0.47 M Na2CO3 solution should contain 0.47 * 2 = 0.94 M Na+ ions.