Question

Determine the number of moles of Cl₂​ molecules in a sample that contains 7.12×10²⁵ molecules of Cl₂​.

Answer 1

To find the moles of Cl₂ from 7.12×10²⁵ molecules, divide by Avogadro's number, resulting in approximately 1.183 moles of Cl₂.

Step-by-step explanation:

To determine the number of moles of Cl₂ molecules in a sample containing 7.12×10²⁵ molecules of Cl₂, you can use Avogadro's number, which relates the number of particles in a mole. The conversion factor for this calculation is simply 1 mole Cl₂ per 6.022×10² Cl₂ molecules. Here is the step-by-step conversion:

1. Write down the number of Cl₂ molecules you have, which is 7.12×10²⁵.
2. Use Avogadro's number to convert molecules to moles:
   
   The conversion factor is 1 mole Cl₂ per 6.022×10²⁳ molecules of Cl₂. Therefore, divide the number of molecules by Avogadro's number:
3. 7.12×10²⁵ molecules Cl₂ ÷ 6.022×10²⁳ molecules/mole = 1.183 moles of Cl₂ (rounded to three significant figures).

Thus, the sample contains approximately 1.183 moles of Cl₂ molecules.