Final answer:
The concentration of glucose in Gatorade is 58.3 g/L or 5.8 g/dL, the NaCl concentration stated is incorrect, and the KCl concentration is 125 mM. These concentrations are designed to match or replenish what is lost through sweat and to improve hydration.
Step-by-step explanation:
Concentration Calculations in Sports Drinks
The question requests calculations of the concentrations of glucose, NaCl (sodium chloride), and KCl (potassium chloride) in Gatorade.
- The concentration of glucose is 58.3 g/L, which is equivalent to 5.8 g/dL, and is less than the normal plasma glucose concentration.
- The concentration of NaCl is calculated to be less than the 7.9M stated in the question, making this information incorrect.
- The concentration of KCl is 125 mM, which is a typical concentration for sports drinks.
An
explanation
spanning around 200 words is provided here for clarity. For glucose, we use the formula: concentration (in molarity) = mass of solute (g) / volume of solution (L) / molecular weight (g/mol). Therefore, for Gatorade, we use 14 g of glucose per 0.24 L and a molecular weight of 180 g/mol to calculate the molarity.
Regarding NaCl and KCl, sports drinks aim to match plasma concentrations to effectively replace lost electrolytes. Sodium is essential for replenishing sodium lost in sweat and improves hydration.
Concentration (in M) = Mass of solute (in g) / Volume of solution (in L)
For Gatorade, the concentration of glucose is 0.324 M.
The concentration of NaCl in Gatorade is 7.9 M, which is comparable to plasma NaCl concentration.
The concentration of KCl in Gatorade is 125 mM.