Question

There are seventeen key nutrients essential for bone health. The ideal intake of calcium is approximately 1.75 g per day. How many atoms of calcium is this?

Answer 1

2.63×10²² atoms

Step-by-step explanation:

From the question given above, the following data were obtained:

Mass of calcium (Ca) = 1.75 g

Number of atoms of calcium (Ca) =?

From Avogadro's hypothesis,

1 mole of Ca = 6.02×10²³ atoms

Recall:

1 mole of Ca = 40 g

Thus,

40 g of Ca = 6.02×10²³ atoms

Finally, we shall determine the number atoms in 1.75 g of calcium. This can be obtained as follow:

From Avogadro's hypothesis,

40 g of Ca = 6.02×10²³ atoms

Therefore,

1.75 g of Ca = 1.75 × 6.02×10²³ / 40

1.75 g of Ca = 2.63×10²² atoms

Thus, 1.75 g of Ca contains 2.63×10²² atoms.