asked 48.1k views
3 votes
Problem Page Gaseous butane will react with gaseous oxygen to produce gaseous carbon dioxide and gaseous water . Supposed 8.14 g of butane is mixed with 41. g of oxygen. Calculate the maximum mass of water that could be produced by the chemical reaction. Be sure your answer has the correct number of significant digits.

asked
User Lucho
by
7.2k points

1 Answer

3 votes

Answer:

12.6 g

Step-by-step explanation:

The formula for the calculation of moles is shown below:


moles = (Mass\ taken)/(Molar\ mass)

For butane:-

Mass of butane = 8.14 g

Molar mass of butane = 58.12 g/mol

The formula for the calculation of moles is shown below:


moles = (Mass\ taken)/(Molar\ mass)

Thus,


Moles= (8.14\ g)/(58.12\ g/mol)


Moles\ of\ butane= 0.14\ mol

Given: For
O_2

Given mass = 41 g

Molar mass of
O_2 = 31.9988 g/mol

The formula for the calculation of moles is shown below:


moles = (Mass\ taken)/(Molar\ mass)

Thus,


Moles= (41\ g)/(31.9988\ g/mol)


Moles\ of\ O_2 = 1.28\ mol

According to the given reaction:


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

2 moles of butane react with 13 moles of oxygen

Also,

1 mole of butane react with 6.5 moles of oxygen

So,

0.14 mole of butane react with 6.5*0.14 moles of oxygen

Moles of oxygen = 0.91 moles

Available moles of
O_2 = 1.28 moles (Extra)

Limiting reagent is the one which is present in small amount. Thus, butane is limiting reagent.

The formation of the product is governed by the limiting reagent. So,

2 moles of butane forms 10 moles of water

Also,

1 mole of butane forms 10 moles of water

So,

0.14 mole of butane forms 5*0.14 mole of water

Moles of water = 0.7 moles

Molar mass of water = 18 g/mol

So,

Mass of water= Moles × Molar mass = 0.7 × 18 g = 12.6 g

answered
User Elad Benda
by
8.7k points