The balanced equation for the reaction is
C₃H₈ + 5O₂ → 3CO₂ + 4H₂O
Moles (mol) = mass (g) / molar mass (g/mol)
Mass of the C₃H₈ = 0.025 g
Molar mass of C₃H₈ = 44.1 g/mol
Hence, moles of C₃H₈ = 0.025 g / 44.1 g/mol = 5.67 x 10⁻⁴ mol
The stoichiometric ratio between C₃H₈ and O₂ is 1 : 5.
Hence, moles of O₂ = moles of C₃H₈ x 5
= 5.67 x 10⁻⁴ mol x 5
= 2.835 x 10⁻³ mol
Molar mass of O₂ = 32.00 g/mol
Hence, mass of O₂ = moles x molar mass
= 2.835 x 10⁻³ mol x 32.00 g/mol
= 0.09072 g
Hence, needed O₂ for the reaction is 0.09072 g.