The mass in grams of each of the following using dimensional analysis is:
- 6.02 x 10²³ atoms of Mg = 12g of Mg
- 3.01 x 10²³ formula units of CaCl2 = 55.5g of CaCl2
- 12.4 x 10¹⁵ molecules of formaldehyde (CH2O) = 0.000000618g of formaldehyde
How to calculate mass?
The mass of a substance can be calculated in different ways depending on whether molecules or moles are given.
First, we need to convert atoms/formula units/molecules to moles as follows:
- 6.02 × 10²³ ÷ 6.02 × 10²³ = 1 mole of Mg
- 3.01 x 10²³ ÷ 6.02 × 10²³ = 0.5 moles of CaCl2
- 12.4 x 10¹⁵ ÷ 6.02 × 10²³ = 2.06 × 10-⁸ moles of formaldehyde
Next, we convert each mole value to mass as follows:
- 1 mole of Mg = 1 × 12 = 12g of Mg
- 0.5 moles of CaCl2 = 0.5 × 111 = 55.5g of CaCl2
- 2.06 × 10-⁸ moles of CH2O = 0.000000618g of formaldehyde
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