Question

The following quantities are placed in a container: 1.5 × 10^24 atoms of hydrogen, 1.0 mol of sulfur, and 88.0 g of diatomic oxygen.

What is the total number of atoms in the container?
a) 1.5 × 10^24 atoms
b) 2.0 × 10^24 atoms
c) 3.5 × 10^24 atoms
d) 4.0 × 10^24 atoms

Answer 1

The total number of atoms in the container is 3.2105 × 10^24 atoms.

Step-by-step explanation:

The total number of atoms in the container can be calculated by summing the number of atoms for each element. We have:

- 1.5 × 1024 atoms of hydrogen

- 1.0 mol of sulfur, which is equivalent to 6.022 × 1023 atoms

- 88.0 g of diatomic oxygen. To find the number of atoms, we need to convert the mass of oxygen to moles and then multiply by Avogadro's number. The molar mass of oxygen is 32.00 g/mol, so:

Number of moles of oxygen = mass of oxygen / molar mass = 88.0 g / 32.00 g/mol = 2.75 mol

Number of atoms of oxygen = 2.75 mol x 6.022 × 1023 atoms/mol = 1.6555 × 1024 atoms

Therefore, the total number of atoms in the container is 1.5 × 1024 + 6.022 × 1023 + 1.6555 × 1024 = 3.2105 × 1024 atoms.