How many formula units would there be in a 54.3 gram sample of sodium nitrate
3.85•10^23
54.3 g/formula unit mass = ?
69.56e5a5t5
Help with work
54.3 g/formula unit mass =
Oh, sodium nitrate, the salt that loves to hang out in large groups! Well, to calculate the number of formula units in a sample, we need to use a bit of chemistry magic. The formula weight of sodium nitrate is approximately 85 grams per mole. So, to find the number of moles in the sample, we divide the mass (54.3 grams) by the formula weight (85 grams/mol). Mathematically, it looks like this: 54.3 g / 85 g/mol ≈ 0.639 moles.
Now, here comes the fun part! Since one mole of sodium nitrate contains Avogadro's number of formula units (6.022 x 10^23), we can simply multiply the number of moles by Avogadro's number to find the number of formula units. So, 0.639 moles x 6.022 x 10^23 formula units/mol ≈ 3.85 x 10^23 formula units.
So, in that 54.3 gram sample of sodium nitrate, you'll find approximately 3.85 x 10^23 sodium nitrate formula units hanging out, ready to have a good time!
To determine the number of formula units in a sample of a compound, you need to use the concept of Avogadro's number and molar mass. Here's how you can find the number of formula units in a 54.3 gram sample of sodium nitrate:
1. Determine the molar mass of sodium nitrate (NaNO3):
- Sodium (Na) has a molar mass of 22.99 g/mol.
- Nitrogen (N) has a molar mass of 14.01 g/mol.
- Oxygen (O) has a molar mass of 16.00 g/mol. Since there are three oxygen atoms in sodium nitrate, the total molar mass of oxygen is 16.00 g/mol × 3 = 48.00 g/mol.
Now, sum up the molar masses of each element in sodium nitrate:
Molar mass of NaNO3 = 22.99 g/mol + 14.01 g/mol + 48.00 g/mol = 84.00 g/mol.
2. Convert the given mass of the sample to moles:
Divide the mass of the sample (54.3 g) by the molar mass of sodium nitrate (84.00 g/mol):
Moles of NaNO3 = 54.3 g / 84.00 g/mol = 0.64643 mol.
3. Use Avogadro's number to find the number of formula units:
Avogadro's number (6.022 × 10^23 units/mol) represents the number of entities in one mole of any substance.
Multiply the number of moles of NaNO3 by Avogadro's number:
Number of formula units = 0.64643 mol × 6.022 × 10^23 units/mol.
Finally, calculate the answer:
Number of formula units = 3.89168 × 10^23 units.
Therefore, there would be approximately 3.89 × 10^23 formula units in a 54.3 gram sample of sodium nitrate.