Rank the following samples in number of atoms from least to greatest.
a) 2 mol of K atoms
b) 48 g of S
c) 27 g of Be
d) 50 g of Na
To rank the given samples in terms of the number of atoms from least to greatest, we need to calculate the number of atoms for each sample.
First, let's calculate the number of atoms in each sample step by step:
a) 2 mol of K atoms:
To find the number of atoms in 2 moles of K atoms, we can use Avogadro's number, which is approximately 6.022 x 10^23 atoms per mole. Multiply the number of moles by Avogadro's number:
Number of atoms in 2 mol of K atoms = 2 mol × (6.022 x 10^23 atoms/mol) = 1.2044 x 10^24 atoms
b) 48 g of S:
To calculate the number of atoms in 48 grams of S, we need to use the molar mass of Sulfur (S), which is approximately 32.06 g/mol. We can use the formula:
Number of moles = Mass (g) / Molar mass (g/mol)
Number of moles of S = 48 g / 32.06 g/mol ≈ 1.496 mol
Now, using Avogadro's number, we can find the number of atoms:
Number of atoms in 48 g of S = 1.496 mol × (6.022 x 10^23 atoms/mol) ≈ 9.012 x 10^23 atoms
c) 27 g of Be:
Similarly, to find the number of atoms in 27 grams of Be (beryllium), we need to use the molar mass of Be, which is approximately 9.012 g/mol. Using the formula:
Number of moles = Mass (g) / Molar mass (g/mol)
Number of moles of Be = 27 g / 9.012 g/mol ≈ 2.997 mol
Using Avogadro's number, we can calculate the number of atoms:
Number of atoms in 27 g of Be = 2.997 mol × (6.022 x 10^23 atoms/mol) ≈ 1.8064 x 10^24 atoms
d) 50 g of Na:
To calculate the number of atoms in 50 grams of Na (sodium), we use the molar mass of Na, which is approximately 22.99 g/mol. Using the formula:
Number of moles = Mass (g) / Molar mass (g/mol)
Number of moles of Na = 50 g / 22.99 g/mol ≈ 2.175 mol
Using Avogadro's number, we can determine the number of atoms:
Number of atoms in 50 g of Na = 2.175 mol × (6.022 x 10^23 atoms/mol) ≈ 1.308 x 10^24 atoms
Now, let's rank the samples based on the number of atoms, from least to greatest:
b) 48 g of S ≈ 9.012 x 10^23 atoms
d) 50 g of Na ≈ 1.308 x 10^24 atoms
c) 27 g of Be ≈ 1.8064 x 10^24 atoms
a) 2 mol of K atoms ≈ 1.2044 x 10^24 atoms
So, the samples ranked from least to greatest based on the number of atoms are:
b) 48 g of S
d) 50 g of Na
c) 27 g of Be
a) 2 mol of K atoms
Convert the masses of S, Be and Na to moles. Then arrange them in order. You already have K in moles
The exercise will be useful for you.