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 \(0.135 \mathrm{M},\) what is the mass of sodium ion circulating in the blood?

Short Answer

Expert verified
The mass of sodium ions circulating in the blood of an average adult human male is \(15.47\,g\).

Step by step solution

01

Find the number of moles of sodium ion

Using the given concentration (\(0.135 M\)) and volume of blood (\(5.0 L\)), we can find the number of moles of sodium ions in the blood: Number of moles = Concentration × Volume
02

Calculate the number of moles of sodium ion

Now, let's calculate the number of moles using given values: Number of moles = \(0.135 M × 5.0 L\) Number of moles = \(0.675\, mol\, Na^+\)
03

Find the molar mass of sodium

Sodium (Na) has a molar mass of \(22.99\,g/mol\). This information is typically found on a periodic table.
04

Calculate the mass of sodium ions

To find the mass of sodium ions, we need to multiply the number of moles of sodium ions by the molar mass of sodium: Mass of sodium ions = Number of moles × Molar mass Mass of sodium ions = \((0.675\, mol\, Na^+) × (22.99\,g/mol)\) Mass of sodium ions = \(15.47\,g\) So, the mass of sodium ions circulating in the blood of an average adult human male is \(15.47\,g\).

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