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

Verified step by step guidance

1. Step 1: Identify the given values in the problem. The total blood volume is 5.0 L, and the concentration of sodium ion (Na^+) is 0.135 M (moles per liter).
2. Step 2: Use the formula for molarity, which is M = \frac{n}{V}, where M is the molarity, n is the number of moles, and V is the volume in liters. Rearrange this formula to solve for the number of moles: n = M \times V.
3. Step 3: Substitute the given values into the rearranged formula to calculate the number of moles of sodium ion: n = 0.135 \text{ M} \times 5.0 \text{ L}.
4. Step 4: Calculate the molar mass of sodium ion (Na^+). The atomic mass of sodium (Na) is approximately 22.99 g/mol.
5. Step 5: Use the number of moles calculated in Step 3 and the molar mass from Step 4 to find the mass of sodium ion: \text{mass} = n \times \text{molar mass of Na^+}.