Final answer:
The molal concentration of sodium chloride in the sports drink is 0.018 mol/kg.
Step-by-step explanation:
The molal concentration of sodium chloride in the sports drink can be calculated using the equation:
Molality (m) = Mass of solute (in kg) / Mass of solvent (in kg)
First, we need to convert the mass of sodium chloride from grams to kilograms:
Mass of sodium chloride = 4.50 g = 0.00450 kg
The volume of the sports drink solution is given as 250 mL, which is equivalent to 0.25 L.
Density of the solution = 1.02 g/mL = 1.02 kg/L
Using the formula:
Molality = 0.00450 kg / 0.25 L = 0.018 mol/kg
Therefore, the molal concentration of sodium chloride in the sports drink is 0.018 mol/kg.