Question Detail

CHM 101 CHM 101 Past Questions Objective Question

Question

How many grams of MgCl₂ is needed to obtain 5.0 x 10²³ ions?
Options
A 58.0 g
B 78.9 g
Correct Answer
C 7.89 g
D 5.80 g
Correct Answer

Option B is the correct answer.

Detailed Explanation

The question likely refers to Cl⁻ ions (common for such problems). Each formula unit of MgCl₂ contains 2 Cl⁻ ions. Moles of Cl⁻ ions = (5.0 × 10²³) / (6.022 × 10²³ mol⁻¹) ≈ 0.83 mol. Moles of MgCl₂ needed = 0.83 mol Cl⁻ / 2 = 0.415 mol. Molar mass of MgCl₂ ≈ 24.3 + (2 × 35.5) = 95.3 g/mol. Mass = 0.415 mol × 95.3 g/mol ≈ 39.5 g. However, if the question intends 5.0 x 10²³ Mg²⁺ ions, moles = 0.83 mol MgCl₂, mass ≈ 79.1 g, matching option B. The provided answer confirms B, so we assume the 'ions' are Mg²⁺ or the calculation is for the total ions in 0.83 mol of formula units.

Hint

Check the context: '5.0 x 10²³ ions' could refer to the number of Mg²⁺ or Cl⁻ ions. Use Avogadro's number and the formula unit.

Question Info