The amount of O₂(g) needed to completely combust 13.02 grams of C₂H₂(g) is 6.4 grams.
The provided chemical is,
2C₂H₂(g) + 5O₂(g) → 4CO₂(g) + 2H₂O(g)
So, from the above equation, we can see,
2 moles of C₂H₂ requires 5 moles of O₂ to completely combust.
So, we can write,
2 Moles C₂H₂ = 5 Moles O₂
Moles = Given mass/Molar mass
Given mass of C₂H₂ = 13.02 g
Molar mass of C₂H₂ = 26g/mol
Molar mass of O₂ = 32 g/mol
So. putting value,
2 x 13.02/26 = 5 x Required mass of O₂/32
Required mass of O₂ = 6.4 grams.
So, a total of 6.4 grams of Oxygen is required to completely combust 13.02 g of C₂H₂(g).
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