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Chapter 4: Problem 63

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?

Short Answer

Expert verified
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 by step solution

01

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 脳 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 脳 5.0 L
02

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 脳 Molar mass First, we calculate the number of moles obtained in step 1: Number of moles = 0.135 M 脳 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 脳 22.99 g/mol = 15.51 g
03

Conclusion

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

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Most popular questions from this chapter

An 8.65-g sample of an unknown group \(2 \mathrm{~A}\) metal hydroxide is dissolved in \(85.0 \mathrm{~mL}\) of water. An acid-base indicator is added and the resulting solution is titrated with \(2.50 \mathrm{M}\) \(\mathrm{HCl}(a q)\) solution. The indicator changes color signaling that the equivalence point has been reached after \(56.9 \mathrm{~mL}\) of the hydrochloric acid solution has been added. (a) What is the molar mass of the metal hydroxide? (b) What is the identity of the metal cation: \(\mathrm{Ca}^{2+}, \mathrm{Sr}^{2+}, \mathrm{Ba}^{2+}\) ?

Which of the following solutions is the most basic? (a) \(0.6 \mathrm{M} \mathrm{NH}_{3}\), (b) \(0.150 \mathrm{M} \mathrm{KOH}\), (c) \(0.100 \mathrm{M} \mathrm{Ba}(\mathrm{OH})_{2}\).

(a) Is the concentration of a solution an intensive or an extensive property? (b) What is the difference between \(0.50 \mathrm{~mol}\) \(\mathrm{HCl}\) and \(0.50 \mathrm{M} \mathrm{HCl}\) ?

State whether each of the following statements is true or false. Justify your answer in each case. (a) Sulfuric acid is a monoprotic acid. (b) \(\mathrm{HCl}\) is a weak acid. (c) Methanol is a base.

(a) How many grams of ethanol, \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}\), should you dissolve in water to make \(1.00 \mathrm{~L}\) of vodka (which is an aqueous solution that is \(6.86 \mathrm{M}\) ethanol)? (b) Using the density of ethanol \((0.789 \mathrm{~g} / \mathrm{mL})\), calculate the volume of ethanol you need to make \(1.00 \mathrm{~L}\) of vodka.
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