Final answer:
To find the total number of atoms in 0.75 moles of CO₂, multiply 0.75 by Avogadro’s number (6.022 × 10²³ molecules/mole) and then by 3, since each molecule of CO₂ contains 3 atoms.
Step-by-step explanation:
To solve for the total number of atoms in 0.75 moles of CO₂ using dimensional analysis, first, we need to know that one mole of CO₂ contains Avogadro's number of molecules, which is approximately 6.022 × 10²³ molecules. Next, since CO₂ consists of one carbon atom and two oxygen atoms, each molecule has a total of 3 atoms. Therefore, the calculation would involve multiplying the number of moles by Avogadro's number and then by the number of atoms per molecule:
0.75 moles CO₂ × (6.022 × 10²³ molecules/mole) × (3 atoms/molecule) = number of atoms.
After performing the multiplication, we find the total number of atoms in 0.75 moles of CO₂.