How many iron atoms should be consumed daily to meet the recommended daily intake of iron in the diet of 0.014 g? - Leaving Cert Chemistry - Question e - 2007
Question e
How many iron atoms should be consumed daily to meet the recommended daily intake of iron in the diet of 0.014 g?
Worked Solution & Example Answer:How many iron atoms should be consumed daily to meet the recommended daily intake of iron in the diet of 0.014 g? - Leaving Cert Chemistry - Question e - 2007
Step 1
Calculate the number of moles of iron in 0.014 g
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Answer
To find the number of moles, we use the formula:
n=Mm
where:
(n) is the number of moles,
(m = 0.014 , \text{g}) (mass of iron), and
(M = 56 , \text{g/mol}) (molar mass of iron).
Plugging in the values:
n=56g/mol0.014g=2.5×10−4mol
Step 2
Convert moles of iron to number of atoms
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Answer
To convert moles to the number of atoms, we use Avogadro's number, which is approximately (6.022 \times 10^{23} , \text{atoms/mol}).
Using the formula:
N=n⋅NA
where:
(N) is the number of atoms,
(n = 2.5 \times 10^{-4} , \text{mol}), and
(N_A = 6.022 \times 10^{23} , \text{atoms/mol}).
Calculating:
N=2.5×10−4mol×6.022×1023atoms/mol≈1.5×1020atoms
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