Problem 63 - Chemistry: The Central Science

Question

The average adult human male has a total blood volume of \(5.0 \mathrm{~L}\). If the concentration of sodium ion in this average individual is \(0.135 \mathrm{M}\), what is the mass of sodium ion circulating in the blood?

Step-by-Step Solution

Answer

The mass of sodium ions circulating in the blood of an average adult human male is 15.51 g based on the given blood volume of 5.0 L and a sodium ion concentration of 0.135 M.

Step 1: Calculate the number of moles of sodium ions in the blood

To find the number of moles of sodium ions in the blood, we can use the formula: Number of moles = Concentration × Volume The concentration of sodium ions is 0.135 M, and the volume of blood is 5.0 L. Number of moles = 0.135 M × 5.0 L

Step 2: Use the molar mass of sodium to convert the moles of sodium ions to mass

Since the molar mass of sodium is 22.99 g/mol, we can convert the moles of sodium ions to mass using the formula: Mass = Number of moles × Molar mass First, we calculate the number of moles obtained in step 1: Number of moles = 0.135 M × 5.0 L = 0.675 mol Now, we multiply the number of moles (0.675 mol) by the molar mass of sodium (22.99 g/mol): Mass = 0.675 mol × 22.99 g/mol = 15.51 g

Step 3: Conclusion

The mass of sodium ions circulating in the blood of an average adult human male is 15.51 g.