Question

How many moles of CaCl₂ does 3.73 × 10^24 formula units represent?

Answer 1

To find the number of moles of CaCl₂ represented by 3.73 × 10²⁴ formula units, one must use Avogadro's number to convert the formula units to moles, resulting in approximately 0.619 moles of CaCl₂.

Step-by-step explanation:

To determine how many moles of CaCl₂ are represented by 3.73 × 10²⁴ formula units, we need to use Avogadro's number, which is 6.022 × 10²⁳ formula units per mole. This conversion factor allows us to convert between units of formula units and moles. Here is how we can calculate this:

1. Start by writing down the given number of formula units: 3.73 × 10²⁴ formula units.
2. Next, we use Avogadro's number to convert formula units to moles using dimensional analysis: 3.73 × 10²⁴ formula units × (1 mole / 6.022 × 10²⁳ formula units).
3. Perform the calculation to find the number of moles: (3.73 / 6.022) × 10₁ (since 10²⁴ / 10²⁳ = 10₁).
4. This results in approximately 0.619 moles of CaCl₂.

We have determined that 3.73 × 10²⁴ formula units corresponds to approximately 0.619 moles of CaCl₂.