Answer :
Final answer:
Using the molar mass of SiO₂ and the number of moles in a grain of sand, we can calculate that a grain of sand weighs approximately 10.2 milligrams.
Explanation:
The weight of the grain of sand can be calculated using the molar mass of SiO₂, which is 60.0835 g/mol. The formula to calculate mass is mass = moles * molar mass. In this case,
mass = (1.69x10⁻⁴ mol) x (60.0835 g/mol)
This gives us an approximate weight of 0.0102 g or 10.2 mg for the grain of sand. Therefore, a grain of sand that has 1.69x10⁻⁴ moles of SiO₂ weighs approximately 10.2 milligrams on Earth.
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