Explanation
Core Formula/Logic: Molarity (M) = moles of solute / volume of solution in liters. Mass = moles × molar mass.
Step-by-Step Solution: 1. Calculate molar mass of NaOH: Na (23) + O (16) + H (1) = 40 g/mol.
2. Convert volume to liters: 100 ml = 0.1 L.
3. Calculate moles needed: Molarity × Volume = 0.5 mol/L × 0.1 L = 0.05 mol.
4. Calculate mass: 0.05 mol × 40 g/mol = 2.0 g.
Common Pitfall: Forgetting to convert ml to liters gives 0.5 × 100 = 50 moles, then 50 × 40 = 2000 g (not an option). Using 100 ml directly as liters gives 0.5 × 1 = 0.5 moles, then 0.5 × 40 = 20 g (option B).
Shortcut/Takeaway: For 0.5 M solution, mass in grams = (Molarity × Volume in L × Molar mass). Quick check: 0.5 × 0.1 × 40 = 2 g. Always convert volume to liters first.