Suppose 23.4g of magnesium hydrogen phosphate MgHPO4 are dissolved in 4.80L of water. Find the composition of the resulting electrolyte solution.In particular, list the chemical symbols (including any charge) of each dissolved ion in the table below. List only one ion per row.Then, calculate the concentration of each ion in mEqL, and write the concentration in the second column of each row. Be sure you round your answers to the correct number of significant digits.
Question
Suppose 23.4g of magnesium hydrogen phosphate MgHPO4 are dissolved in 4.80L of water. Find the composition of the resulting electrolyte solution.In particular, list the chemical symbols (including any charge) of each dissolved ion in the table below. List only one ion per row.Then, calculate the concentration of each ion in mEqL, and write the concentration in the second column of each row. Be sure you round your answers to the correct number of significant digits.
Solution
First, we need to identify the ions that will be present in the solution when magnesium hydrogen phosphate (MgHPO4) is dissolved in water. Magnesium hydrogen phosphate is a salt and will dissociate into its constituent ions in water. The ions are:
- Magnesium ion (Mg2+)
- Hydrogen phosphate ion (HPO4 2-)
Next, we need to calculate the molar mass of MgHPO4 to find out how many moles of MgHPO4 are present in 23.4g. The molar mass of MgHPO4 is approximately 120.3 g/mol.
So, the number of moles of MgHPO4 = mass / molar mass = 23.4g / 120.3 g/mol = 0.194 mol
Since each formula unit of MgHPO4 produces one Mg2+ ion and one HPO4 2- ion, the number of moles of each ion is also 0.194 mol.
The volume of the solution is 4.80L.
The concentration of each ion in mol/L (Molarity) = number of moles / volume in L = 0.194 mol / 4.80L = 0.0404 M
To convert this to mEq/L, we need to multiply by the charge of the ion and by 1000 (since 1 Eq = 1 mol of charge, and 1 mEq = 1/1000 Eq).
For Mg2+, the concentration in mEq/L = 0.0404 M * 2 * 1000 = 80.8 mEq/L
For HPO4 2-, the concentration in mEq/L = 0.0404 M * 2 * 1000 = 80.8 mEq/L
So, the composition of the electrolyte solution is:
| Ion | Concentration (mEq/L) |
|---|---|
| Mg2+ | 80.8 |
| HPO4 2- | 80.8 |
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