how many silicon atoms are in a mass of 32 g

To determine how many silicon atoms are in a mass of 32 grams, we can follow these steps:

1. **Determine the molar mass of silicon (Si):**  
   The atomic mass of silicon is approximately 28.0855 g/mol.

2. **Calculate the number of moles in 32 grams of silicon:**  
   \[
   \text{Number of moles} = \frac{\text{Mass}}{\text{Molar mass}} = \frac{32\ \text{g}}{28.0855\ \text{g/mol}} \approx 1.139\ \text{mol}
   \]

3. **Use Avogadro's number to find the number of atoms:**  
   Avogadro's number is \( 6.022 \times 10^{23} \) atoms/mol.

   \[
   \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} = 1.139\ \text{mol} \times 6.022 \times 10^{23}\ \text{atoms/mol} \approx 6.86 \times 10^{23}\ \text{atoms}
   \]

So, there are approximately \( 6.86 \times 10^{23} \) silicon atoms in a 32 g sample of silicon.

Would you like more details or have any questions?

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**Related Questions:**

1. How would the number of atoms change if the mass was doubled?
2. What is the relationship between molar mass and the number of atoms in a sample?
3. How many grams of silicon would contain exactly \( 1 \times 10^{24} \) atoms?
4. What is the significance of Avogadro's number in chemistry?
5. How would the number of silicon atoms compare to the number of carbon atoms in the same mass?

**Tip:** Always ensure you know the molar mass of the element when calculating the number of atoms from a given mass.

Learn how to calculate the number of silicon atoms in a 32g sample using the mole concept and Avogadro's number. Understand the relationship between mass, molar mass, moles, and atoms. Get detailed step-by-step explanation suitable for advanced high school chemistry students.

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