[tex]\[
C_2H_5OH + 2O_2 \rightarrow 2CO_2 + 3H_2O + 1367 \text{ kJ}
\][/tex]

What is the mole ratio between water and carbon dioxide?

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



Answer :

To find the mole ratio between water (H₂O) and carbon dioxide (CO₂), let's examine the balanced chemical equation:

[tex]\[ C _2 H _5 OH + 2 O _2 \rightarrow 2 CO _2 + 3 H _2 O + 1367 \text{ kJ} \][/tex]

In this balanced equation, the coefficients in front of each compound represent the number of moles of that compound involved in the reaction.

- The coefficient for water (H₂O) is 3.
- The coefficient for carbon dioxide (CO₂) is 2.

These coefficients tell us how many moles of each compound are produced or consumed in the reaction. Specifically, for every 2 moles of CO₂ produced, 3 moles of H₂O are produced.

Therefore, the mole ratio between water (H₂O) and carbon dioxide (CO₂) is:

[tex]\[ \frac{3 \text{ mol H}_2\text{O}}{2 \text{ mol CO}_2} \][/tex]

So, the mole ratio is [tex]\(\frac{3 \text{ mol H}_2\text{O}}{2 \text{ mol CO}_2}\)[/tex].