[By Lussac’s law]
2C2H2 + 5O2 → 4CO2 + 2 H2O
2 vol : 5 vol → 4 vol : 2 vol
To calculate the volume of acetylene
CO2 : C2H2
4 : 2
200 : x
⇒ x = 200 × 2\over 4 = 100 cm3
Hence, volume of acetylene in the original mixture is 100 cm3.
To calculate the volume of oxygen
CO2 : O2
4 : 5
200 : x
⇒ x = 200 × 5\over 4 = 250 cm3
Hence, volume of oxygen in the original mixture is 250 cm3.