Iron is biologically important in the transport of oxygen by red blood cells from the lungs to the various organs of the body. In the blood of an adult human, there are approximately 2.64 × 1013 red blood cells with a total of 2.90 g of iron. On the average, how many iron atoms are present in each red blood cell? (molar mass Fe = 55.85 g/mol)

Respuesta :

The number of iron atoms present in each red blood cell is 1.18 × 10⁹ atoms

Stoichiometry

From the question, we are to determine the number of iron atoms present in each red blood cell

First, we will determine the mass of iron in one red blood cell

The mass of iron in a red blood cell = [tex]\frac{2.90}{2.64 \times 10^{13} }[/tex]

= 1.098 × 10⁻¹³ g

To determine the number of iron atoms present, we will determine the number of moles of iron atoms present

From the formula

[tex]Number\ of\ moles = \frac{Mass}{Molar\ mass}[/tex]

Number of moles of iron in a red blood cell = [tex]\frac{1.098 \times 10^{-13} }{55.85}[/tex]

Number of moles of iron in a red blood cell = 1.966 × 10⁻¹⁵ mole

Now, for the number of iron atoms present

Number of atoms = Number of moles × Avogadro's constant

Then,

Number of iron atoms present = 1.966 × 10⁻¹⁵ × 6.022 × 10²³

Number of iron atoms present = 1.18 × 10⁹ atoms

Hence, the number of iron atoms present in each red blood cell is 1.18 × 10⁹ atoms

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