Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Which of the following is a valid mole ratio from the balanced equation [tex][tex]$2C_3H_6 + 9O_2 \rightarrow 6CO_2 + 6H_2O$[/tex][/tex]?

A. [tex]\frac{1 \text{ mol } C_3H_6}{2 \text{ mol } CO_2}[/tex]

B. [tex]\frac{6 \text{ mol } H_2O}{9 \text{ mol } O_2}[/tex]

C. [tex]\frac{2 \text{ mol } C_3H_6}{6 \text{ mol } O_2}[/tex]

D. [tex]\frac{3 \text{ mol } H_2O}{2 \text{ mol } CO_2}[/tex]

Sagot :

GinnyAnswer
To determine the valid mole ratio from the given balanced chemical equation:
[tex]\[ 2 C_3H_6 + 9 O_2 \rightarrow 6 CO_2 + 6 H_2O \][/tex]

We'll compare each of the provided ratios with the stoichiometric coefficients in the balanced equation. Here's the step-by-step analysis:

1. Option 1: [tex]\(\frac{1 \text{ mol } C_3H_6}{2 \text{ mol } CO_2}\)[/tex]
- According to the balanced equation, 2 moles of [tex]\(C_3H_6\)[/tex] produce 6 moles of [tex]\(CO_2\)[/tex].
- Simplifying the ratio, [tex]\(\frac{2 \text{ moles } C_3H_6}{6 \text{ moles } CO_2} = \frac{1 \text{ mol } C_3H_6}{3 \text{ moles } CO_2}\)[/tex].
- Therefore, [tex]\(\frac{1 \text{ mol } C_3H_6}{2 \text{ moles } CO_2}\)[/tex] does not match this ratio.

2. Option 2: [tex]\(\frac{6 \text{ mol } H_2O}{9 \text{ mol } O_2}\)[/tex]
- According to the balanced equation, 9 moles of [tex]\(O_2\)[/tex] react to produce 6 moles of [tex]\(H_2O\)[/tex].
- The ratio [tex]\(\frac{6 \text{ mol } H_2O}{9 \text{ mol } O_2}\)[/tex] correctly reflects the stoichiometry in the given balanced equation.
- This ratio is valid.

3. Option 3: [tex]\(\frac{2 \text{ mol } C_3H_6}{6 \text{ mol } O_2}\)[/tex]
- According to the balanced equation, 2 moles of [tex]\(C_3H_6\)[/tex] react with 9 moles of [tex]\(O_2\)[/tex].
- Simplifying the ratio, [tex]\(\frac{2 \text{ moles } C_3H_6}{9 \text{ moles } O_2}\)[/tex].
- Therefore, [tex]\(\frac{2 \text{ moles } C_3H_6}{6 \text{ moles } O_2}\)[/tex] does not match this ratio.

4. Option 4: [tex]\(\frac{3 \text{ mol } H_2O}{2 \text{ mol } CO_2}\)[/tex]
- According to the balanced equation, 6 moles of [tex]\(CO_2\)[/tex] are produced alongside 6 moles of [tex]\(H_2O\)[/tex].
- Simplifying the ratio, [tex]\(\frac{6 \text{ moles } H_2O}{6 \text{ moles } CO_2} = \frac{1 \text{ mol } H_2O}{1 \text{ mol } CO_2}\)[/tex].
- Therefore, [tex]\(\frac{3 \text{ moles } H_2O}{2 \text{ moles } CO_2}\)[/tex] does not match this ratio.

Among the given options, the valid mole ratio from the balanced equation is:
[tex]\[ \boxed{\frac{6 \text{ mol } H_2O}{9 \text{ mol } O_2}} \][/tex]
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.