Question

What is the total volume of gaseous products formed when 116 liters of butane (C4H10) react completely according to the following reaction? (All gases are at the same temperature and pressure.) butane (C4H10) (g) + oxygen(g)carbon dioxide (g) + water(g)

Answer 1

Answer: The total volume of the gaseous products is 1044.29 L

Step-by-step explanation:

We are given:

Volume of butane = 116 L

At STP:

22.4 L of volume is occupied by 1 mole of a gas

So, 116 L of volume will be occupied by =
`(1)/(22.4)* 116=5.18mol` of butane

The chemical equation for the combustion of butane follows:

`2C_4H_(10)(g)+13O_2(g)\rightarrow 8CO_2(g)+10H_2O(g)`

• For carbon dioxide:

By Stoichiometry of the reaction:

2 moles of butane produces 8 moles of carbon dioxide

So, 5.18 moles of butane will produce =
`(8)/(2)* 5.18=20.72mol` of carbon dioxide

Volume of carbon dioxide at STP = (20.72 × 22.4) = 464.13 L

• For water vapor:

By Stoichiometry of the reaction:

2 moles of butane produces 10 moles of water vapor

So, 5.18 moles of butane will produce =
`(10)/(2)* 5.18=25.9mol` of water vapor

Volume of water vapor at STP = (25.9 × 22.4) = 580.16 L

Total volume of the gaseous products = [464.13 + 580.16] = 1044.29 L

Hence, the total volume of the gaseous products is 1044.29 L