Starting with the balanced equation.
2C2H2+5O2 → 4CO2+2H2O
∴ 1 mole of C2H2 requires 52 moles of O2 for complete combustion
1 mole of O2 = 6.022 × 1023 molecules of O2
52 mole of O2 = 52 × 6.022 × 1023 molecules of O2
= 15.055 × 1023 molecules of O2