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[tex]\[
2 C_6H_6(g) + 15 O_2(g) \rightarrow 12 CO_2(g) + 6 H_2O(g)
\][/tex]

2.00 mol [tex]\( C_6H_6 \)[/tex] reacts with oxygen according to the reaction above. What volume of water vapor, in liters, forms at STP?

[?] [tex]\( \text{L} H_2O \)[/tex]


Sagot :

Certainly! Let's solve this step-by-step.

1. Identify the Given Reaction and Known Quantities:

The balanced chemical equation provided is:
[tex]\[ 2 \, C_6H_6(g) + 15 \, O_2(g) \rightarrow 12 \, CO_2(g) + 6 \, H_2O(g) \][/tex]
We are given that 2.00 moles of [tex]\(C_6H_6\)[/tex] reacts with oxygen.

2. Identify the Relevant Stoichiometric Ratios:

According to the balanced chemical equation, 2 moles of [tex]\(C_6H_6\)[/tex] produce 6 moles of [tex]\(H_2O\)[/tex]. This can be written as a stoichiometric ratio:
[tex]\[ \frac{6 \, \text{mol} \, H_2O}{2 \, \text{mol} \, C_6H_6} \][/tex]

3. Calculate the Moles of [tex]\(H_2O\)[/tex] Produced:

Since we start with 2.00 moles of [tex]\(C_6H_6\)[/tex]:
[tex]\[ \text{Moles of } H_2O = \left( \frac{6 \, \text{mol} \, H_2O}{2 \, \text{mol} \, C_6H_6} \right) \times 2.00 \, \text{mol} \, C_6H_6 \][/tex]
Simplifying the expression, we get:
[tex]\[ \text{Moles of } H_2O = 6.00 \, \text{mol} \][/tex]

4. Convert Moles of [tex]\(H_2O\)[/tex] to Volume at STP:

At Standard Temperature and Pressure (STP), 1 mole of any ideal gas occupies 22.4 liters. Therefore, we can find the volume of water vapor produced using the number of moles calculated:
[tex]\[ \text{Volume of } H_2O = 6.00 \, \text{mol} \times 22.4 \, \text{L/mol} \][/tex]
Simplifying this, we obtain:
[tex]\[ \text{Volume of } H_2O = 134.4 \, \text{L} \][/tex]

Thus, the volume of water vapor produced at STP is [tex]\(134.4 \, \text{liters}\)[/tex].
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