To determine the number of molecules in 1 mole of oxygen gas (O[tex]\(_2\)[/tex]), you will need to use Avogadro's number. Avogadro's number gives the number of molecules in one mole of any substance. The value of Avogadro's number is [tex]\(6.02 \times 10^{23}\)[/tex].
Here's the step-by-step solution:
1. Understand the concept of a mole:
- One mole of any substance contains exactly [tex]\(6.02 \times 10^{23}\)[/tex] entities (atoms, molecules, etc.), according to Avogadro's number.
2. Identify the given information:
- The gas cylinder contains exactly 1 mole of O[tex]\(_2\)[/tex].
3. Apply Avogadro's number:
- Since 1 mole of any substance contains [tex]\(6.02 \times 10^{23}\)[/tex] molecules, 1 mole of O[tex]\(_2\)[/tex] will also contain [tex]\(6.02 \times 10^{23}\)[/tex] molecules.
Thus, the number of molecules of oxygen gas in the cylinder is [tex]\(6.02 \times 10^{23}\)[/tex].
So the correct answer is:
[tex]\[ \boxed{6.02 \times 10^{23} \text{ molecules}} \][/tex]
