Answer:
3.47 × 10²³ C atoms
Solution:
Data Given:
Mass of Diamond = 48 mg = 0.048 g
M.Mass of Diamond = 12.01 g.mol⁻¹ (as it is purely Carbon)
Step 1: Calculate Moles of Diamond as,
Moles = Mass ÷ M.Mass
Putting values,
Moles = 0.048 g ÷ 12.01 g.mol⁻¹
Moles = 0.576 mol
Step 2: Calculate number of Carbon atoms,
As 1 mole of any substance contains 6.022 × 10²³ particles (Avogadro's Number) then the relation for Moles and Number of Carbon atoms can be written as,
Moles = Number of C Atoms ÷ 6.022 × 10²³ Atoms.mol⁻¹
Solving for Number of C atoms,
Number of C atoms = Moles × 6.022 × 10²³ Atoms.mol⁻¹
Putting value of moles,
Number of C atoms = 0.576 mol × 6.022 × 10²³ Atoms.mol⁻¹
Number of C atoms = 3.47 × 10²³ C atoms
