How many oxygen atoms are in 3.20g of quartz?
Quartz is SiO2?
moles in 3.20g = grams/molar mass
Then since there are two O stoms per 1 molecule SiO2, double the moles SiO2.
6.42
To determine the number of oxygen atoms in 3.20g of quartz, we can use the molar mass and Avogadro's number.
1. First, we need to determine the molar mass of quartz, which is SiO₂.
- The molar masses of silicon (Si) and oxygen (O) are approximately 28.09 g/mol and 16.00 g/mol, respectively.
- The molecular formula of quartz, SiO₂, indicates that there are two oxygen atoms per molecule.
- Therefore, the molar mass of quartz can be calculated as follows: (28.09 g/mol) + (2 × 16.00 g/mol) = 60.09 g/mol.
2. Next, we convert the given mass of quartz (3.20g) to moles.
- Using the equation: moles = mass / molar mass, we get moles = 3.20g / 60.09 g/mol = 0.053 mol.
3. Finally, we can use Avogadro's number to calculate the number of oxygen atoms.
- Avogadro's number is approximately 6.022 × 10^23 atoms/mol.
- So, the number of oxygen atoms in 0.053 mol of quartz is 0.053 mol × (6.022 × 10^23 atoms/mol) = 3.187 × 10^22 atoms.
Therefore, there are approximately 3.187 × 10^22 oxygen atoms in 3.20g of quartz.
To determine the number of oxygen atoms in 3.20g of quartz, we need to use the concept of moles and the molecular formula of quartz.
Quartz is a compound with the chemical formula SiO2, where each molecule contains one silicon atom (Si) and two oxygen atoms (O).
First, we need to calculate the number of moles of quartz present in 3.20g. To do this, we can use the formula:
Number of moles = mass of substance / molar mass
The molar mass of quartz (SiO2) can be calculated by adding the atomic masses of silicon (Si) and oxygen (O):
Molar mass of SiO2 = (atomic mass of Si) + 2 * (atomic mass of O)
The atomic masses can be found on the periodic table:
- Atomic mass of Si = 28.0855 g/mol
- Atomic mass of O = 15.9994 g/mol
Molar mass of SiO2 = 28.0855 + 2 * 15.9994
Now, we can calculate the number of moles:
Number of moles of quartz = 3.20g / Molar mass of SiO2
Once we have the number of moles of quartz, we can use the molecular formula to determine the number of oxygen atoms. Since each molecule of SiO2 contains two oxygen atoms, we can multiply the number of moles by Avogadro's number (6.022x10^23) to get the number of oxygen atoms:
Number of oxygen atoms = Number of moles of quartz * (2 * Avogadro's number)
Calculating the value will give you the answer - the number of oxygen atoms in 3.20g of quartz.