Question

Which one of the following densities is expected to belong to 50% NaCI?

1. 1.5489 g/ml

2. 1.0100 g/ml

3. 1.9387 g

4. 1.4983 ml

Answer 1

To determine the density of a 50% NaCl (sodium chloride) solution, we need to consider the properties of the solute (NaCl) and the solvent (usually water).

First, it's essential to know the density of pure water at a specific temperature because the density of the solution will depend on the concentration of NaCl and the density of water. At room temperature (approximately 20°C), the density of pure water is approximately 1.00 g/ml.

Now, for a 50% NaCl solution, this means that the solution is made up of 50% NaCl and 50% water (by weight or volume, depending on the context). Since we know the density of water (1.00 g/ml), the density of the 50% NaCl solution will be a weighted average of the densities of pure NaCl (2.165 g/ml) and water.

Density of 50% NaCl solution = (Density of NaCl * Fraction of NaCl) + (Density of water * Fraction of water) Density of 50% NaCl solution = (2.165 g/ml * 0.50) + (1.00 g/ml * 0.50) Density of 50% NaCl solution = 1.0825 g/ml + 0.50 g/ml Density of 50% NaCl solution = 1.5825 g/ml

So, the expected density of a 50% NaCl solution is approximately 1.5825 g/ml. None of the provided options match this value exactly. However, the closest option is "1.5489 g/ml," although it's not an exact match.