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 $\times$ 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) A)8.44 $\times$ 10^-¹⁰ B)1.18 $\times$ 10⁹ C)3.13 $\times$ 10²² D)2.64 $\times$ 10¹³ E)6.14 $\times$ 10^-²

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Quizplus · Accepted Answer

First, calculate the number of moles of iron using its total mass and molar mass: $ \frac{2.90 \, \text{g}}{55.85 \, \text{g/mol}} \approx 0.0519 \, \text{moles} $. Then, find the number of iron atoms by multiplying the moles of iron by Avogadro's number ($6.022 \times 10^{23} \, \text{atoms/mol}$): $0.0519 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mol} \approx 3.13 \times 10^{22} \, \text{atoms}$. Finally, divide the total number of iron atoms by the number of red blood cells ($2.64 \times 10^{13}$) to find the average number of iron atoms per red blood cell: $ \frac{3.13 \times 10^{22}}{2.64 \times 10^{13}} \approx 1.18 \times 10^{9} \, \text{atoms/cell}$.

Iron Is Biologically Important in the Transport of Oxygen by Red