Answer :
Final answer:
The weight of the grain of sand depends on the molar mass of SiO2 and the number of moles present in it. A missing exponent in the number of moles provided prevents from making an accurate calculation.
Explanation:
To answer your question, we need to calculate the molar mass of SiO2 (silicon dioxide), then multiply it by the number of moles of SiO2 within a grain of sand.
SiO2 is composed of one Silicon (Si) atom and two Oxygen (O2) atoms. The atomic weight of Silicon is approximately 28.0855 grams/mole and for Oxygen, it's approx. 15.9994 grams/mole. But since we have two Oxygen atoms, we need to multiply its atomic weight by 2, resulting in 31.9988 grams/mole.
Thus, the molar mass of SiO2 is the sum of the molar mass of Silicon and Oxygen which is 60.0843 grams/mole.
Given the number of moles in the grain of sand is 1.69x10^, we would multiply this figure by the molar mass of SiO2. However, there seems to be an error in your question as the exponent is not provided. If we assume the exponent to be -10, the weight will be minuscule. A clarification or correction in your question is needed to make the final calculation.
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