danielbaez360
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Ask your questions and receive precise answers from experienced professionals across different disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

How many grams of carbon dioxide are produced by burning [tex]$65.7 \, \text{g} \, C_2H_6$[/tex] with excess oxygen?

[tex]\[
2C_2H_6 + 7O_2 \rightarrow 4CO_2 + 6H_2O
\][/tex]

A. [tex]$192 \, \text{g}$[/tex]

B. [tex]$48.1 \, \text{g}$[/tex]

C. [tex][tex]$384 \, \text{g}$[/tex][/tex]

D. [tex]$288 \, \text{g}$[/tex]

Sagot :

GinnyAnswer
To determine how many grams of carbon dioxide (CO₂) are produced by burning [tex]\(65.7 \text{ g}\)[/tex] of ethane (C₂H₆) with excess oxygen, we need to follow these steps:

1. Calculate the molar mass of C₂H₆:
- Ethane (C₂H₆) consists of 2 carbon atoms and 6 hydrogen atoms.
- The atomic mass of carbon (C) is approximately 12 g/mol.
- The atomic mass of hydrogen (H) is approximately 1 g/mol.
- Therefore, the molar mass of C₂H₆ is:
[tex]\[ 2 \times 12 + 6 \times 1 = 24 + 6 = 30 \text{ g/mol} \][/tex]

2. Calculate the number of moles of C₂H₆ burned:
- The given mass of C₂H₆ is [tex]\(65.7 \text{ g}\)[/tex].
- The number of moles of C₂H₆ is calculated by dividing the mass by the molar mass:
[tex]\[ \text{moles of C₂H₆} = \frac{65.7 \text{ g}}{30 \text{ g/mol}} = 2.19 \text{ moles} \][/tex]

3. Use the stoichiometry of the reaction to find the moles of CO₂ produced:
- According to the balanced chemical equation,
[tex]\[ 2 \text{ C₂H₆} + 7 \text{ O₂} \rightarrow 4 \text{ CO₂} + 6 \text{ H₂O} \][/tex]
- This means that 2 moles of C₂H₆ produce 4 moles of CO₂.
- Therefore, the ratio of moles of CO₂ to moles of C₂H₆ is:
[tex]\[ \text{ratio} = \frac{4 \text{ moles CO₂}}{2 \text{ moles C₂H₆}} = 2 \][/tex]
- Consequently, the moles of CO₂ produced can be calculated by multiplying the moles of C₂H₆ by this ratio:
[tex]\[ \text{moles of CO₂} = 2.19 \text{ moles of C₂H₆} \times 2 = 4.38 \text{ moles} \][/tex]

4. Calculate the mass of CO₂ produced:
- The molar mass of CO₂ is:
[tex]\[ 1 \text{ carbon} = 12 \text{ g/mol} + 2 \times 16 \text{ g/mol} = 12 + 32 = 44 \text{ g/mol} \][/tex]
- The mass of CO₂ produced is calculated by multiplying the number of moles of CO₂ by its molar mass:
[tex]\[ \text{mass of CO₂} = 4.38 \text{ moles} \times 44 \text{ g/mol} = 192.72 \text{ g} \][/tex]

5. Choose the closest answer from the options provided:
The closest answer to [tex]\(192.72 \text{ g}\)[/tex] from the given options is:
[tex]\[ \boxed{192 \text{ g}} \][/tex]

Therefore, the number of grams of carbon dioxide produced by burning [tex]\(65.7 \text{ g}\)[/tex] of C₂H₆ with excess oxygen is [tex]\(\boxed{192 \text{ g}}\)[/tex].
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.