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A grain of sand has approximately \( 1.69 \times 10^{-4} \) moles of \(\text{SiO}_2\). How much does a grain of sand weigh in grams? Assume that sand is 100% \(\text{SiO}_2\).

Answer :

A grain of sand weighs approximately 0.01016 grams. The weight of a grain of sand can be calculated using the given information. We know that a grain of sand has approximately 1.69x10^-4 moles of SiO2 and it is assumed that sand is 100% SiO2.



To find the weight of the sand, we need to use the molar mass of SiO2. The molar mass of SiO2 is calculated by adding the atomic masses of silicon (Si) and two oxygen (O) atoms.

The atomic mass of silicon (Si) is 28.09 g/mol, and the atomic mass of oxygen (O) is 16.00 g/mol.

So, the molar mass of SiO2 is 28.09 g/mol + 2 * 16.00 g/mol = 60.09 g/mol.

Now, let's calculate the weight of the sand:

1.69x10⁻⁴ moles of SiO2 * 60.09 g/mol

= 0.01016 grams of SiO2.

Therefore, a grain of sand weighs approximately 0.01016 grams.

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