A scientist used 21.0g of NaHCO3. How many miles of NaHCO3 were in this sample?
mols = grams/molar mass = ?
To determine the number of moles of NaHCO3 in the sample, we need to divide the given mass (21.0g) by the molar mass of NaHCO3.
First, let's find the molar mass of NaHCO3:
- The atomic mass of sodium (Na) is approximately 22.99 g/mol.
- The atomic mass of hydrogen (H) is approximately 1.01 g/mol.
- The atomic mass of carbon (C) is approximately 12.01 g/mol.
- The atomic mass of oxygen (O) is approximately 16.00 g/mol.
Now, we multiply the respective atomic masses by the number of atoms present in NaHCO3:
Na: 1 × 22.99 g/mol
H: 1 × 1.01 g/mol
C: 1 × 12.01 g/mol
O: 3 × 16.00 g/mol
The sum of these masses gives us the molar mass of NaHCO3:
Molar mass of NaHCO3 = (1 × 22.99) + (1 × 1.01) + (1 × 12.01) + (3 × 16.00) g/mol
Calculating the above expression, we find that the molar mass of NaHCO3 is approximately 84.01 g/mol.
Now, we can calculate the number of moles of NaHCO3 in the sample:
Number of moles of NaHCO3 = Mass of NaHCO3 / Molar mass of NaHCO3
= 21.0 g / 84.01 g/mol
Performing the division, we find that the number of moles of NaHCO3 in the sample is approximately 0.250 mol.
Lastly, to calculate the number of miles of NaHCO3, we need to multiply the number of moles by Avogadro's number. Avogadro's number is approximately 6.022 x 10^23.
Number of miles of NaHCO3 = Number of moles of NaHCO3 × Avogadro's number
= 0.250 mol × 6.022 x 10^23
Multiplying the above values, we find that the number of miles of NaHCO3 in the sample is approximately 1.5055 x 10^23 miles.