If you have 1 mole of baking soda (NaHCO³), then about how many atoms of oxygen do you have?
You have 6.02E23 x 3 = ?
To determine the number of atoms of oxygen in 1 mole of baking soda (NaHCO₃), you need to consider the chemical formula and the concept of molar mass.
1. Identify the chemical formula: The formula for baking soda is NaHCO₃, which indicates that there is one sodium atom (Na), one hydrogen atom (H), one carbon atom (C), and three oxygen atoms (O) in each molecule.
2. Determine the molar mass: The molar mass is the mass of one mole of a substance, which can be calculated by summing the atomic masses of all the atoms in the formula. The atomic masses (in g/mol) are approximately:
- Na (sodium) = 23.0 g/mol
- H (hydrogen) = 1.0 g/mol
- C (carbon) = 12.0 g/mol
- O (oxygen) = 16.0 g/mol
Therefore, the molar mass of NaHCO₃ is:
(1 * 23.0) + (1 * 1.0) + (1 * 12.0) + (3 * 16.0) = 23.0 + 1.0 + 12.0 + 48.0 = 84.0 g/mol.
3. Use Avogadro's number: Avogadro's number (6.022 × 10²³) represents the number of particles (atoms, molecules, etc.) in one mole of a substance.
Knowing the molar mass of NaHCO₃, we can determine the number of moles of baking soda represented by 84.0 grams.
4. Calculate the number of moles of baking soda: The number of moles can be obtained using the formula:
moles = mass (g) / molar mass (g/mol).
In this case, if we assume we have 1 mole of baking soda, the mass is equal to the molar mass of the compound. So we have:
moles of baking soda = 84.0 g / 84.0 g/mol = 1 mole.
5. Determine the number of atoms of oxygen: Finally, to find the number of atoms of oxygen, multiply the number of moles by Avogadro's number.
number of atoms of oxygen = moles of baking soda * Avogadro's number.
number of atoms of oxygen = 1 mole * (6.022 × 10²³ atoms/mole) = 6.022 × 10²³ atoms.
Therefore, if you have 1 mole of baking soda (NaHCO₃), you will have approximately 6.022 × 10²³ atoms of oxygen.