Question

What is the mass percent of Cl in the sulfate salt of \(\left[\mathrm{Ni}\left(\mathrm{H}_{2} \mathrm{O}\right)_{4} \mathrm{Cl}_{2}^{+}\right] ?\)

Short answer

Answer: The mass percent of Cl in the sulfate salt is approximately 29.82%.

Step-by-step solution

Determine the molar mass of the given sulfate salt

To find the molar mass of the sulfate salt, start by determining the molar mass of each element present in the formula. The given formula is \(\left[\mathrm{Ni}\left(\mathrm{H}_{2} \mathrm{O}\right)_{4} \mathrm{Cl}_{2}^{+}\right]\). Look up the atomic masses of Ni, H, O, and Cl and multiply each element's mass by the number of atoms present in the formula: - Ni: 1 × 58.69 g/mol - H: 8 × 1.01 g/mol - O: 4 × 16.00 g/mol - Cl: 2 × 35.45 g/mol Add the masses of all elements to find the molar mass of the entire sulfate salt complex.

Calculate the mass of Cl in the formula

Now, to find out the mass of Cl in the formula, we multiply the atomic mass of Cl by the number of Cl atoms present in the formula. In this case, there are 2 Cl atoms, so the mass of Cl in the formula is: 2 × 35.45 g/mol = 70.90 g/mol

Calculate the mass percent of Cl

Finally, to find the mass percent of Cl in the sulfate salt, divide the mass of Cl in the formula (Step 2) by the molar mass of the entire sulfate salt complex (Step 1) and multiply by 100. Mass percent of Cl = \(\frac{70.90 \text{ g/mol}}{(58.69 + 8(1.01) + 4(16.00) + 2(35.45))\text{ g/mol}} × 100\%\) Mass percent of Cl = \(\frac{70.90 \text{ g/mol}}{237.69 \text{ g/mol}} × 100\%\) Mass percent of Cl ≈ 29.82% So, the mass percent of Cl in the given sulfate salt is approximately 29.82%.