Answer:
The answer is 1.7 moles of carbon dioxide.
Step-by-step explanation:
You know the following chemical reaction.
2 C₄H₁₀ + 13 0₂ ⇒ 8 CO₂ +10 H₂O
First you must observe if this reaction is balanced. For that, you must first look at the subscripts next to each atom to find the number of atoms in each molecule. So you have:
- In C₄H₁₀: 4 atoms of C and 10 atoms of H
- In O₂: 2 atoms of O
- In CO₂: 1 atom of C and 2 atoms of O
- In H₂O: 2 atoms of H and 1 atom of O.
The coefficient in front of each molecule indicates the amount of moles of each in the reaction, for example there are 2 moles of C₄H₁₀. When you multiply this coefficient by the subscript (which indicates the number of atoms in the molecule, as shown previously), you get how many atoms of each element react or occur in total. If an item appears in more than one reagent or product, you must do the multiplication and add it.
Reagents:
- C: 8 atoms (It appears in C₄H₁₀, then 2*4 = 8 atoms)
- H: 20 atoms (It appears in C₄H₁₀, then 2*10 = 20 atoms)
- 0: 26 atoms (It appears in O₂, then 13*2=26 atoms)
Products:
- C: 8 atoms (It appears in CO₂, then 8*1 = 8 atoms)
- H: 20 atoms (It appears in H₂O, then 10*2 = 20 atoms)
- 0: 26 atoms (It appears in CO₂, so 8*2=16 and in H₂O, so 10*1=10 atoms, so adding up you get 26 atoms)
You can see that you have the same number of atoms of each element in the reagents and in the products. This means that the reaction is balanced.
Now, knowing this, you can calculate the amount of moles of carbon dioxide that are formed when 0.425 mol C₄H₁₀ reacts.
For that, you use the balanced reaction and a simple rule of three:
If to form 8 moles of CO₂ you need 2 moles of C₄H₁₀, how many moles of CO₂ are formed if 0.425 moles of C₄H₁₀ react?
molesofCO2=1.7 moles