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The combustion reaction of propane is described by the reaction:
[tex]\[
C_3H_8 + 5O_2 \rightarrow 4H_2O + 3CO_2
\][/tex]

How many moles of [tex]\[ O_2 \][/tex] are required to generate 3 moles of [tex]\[ CO_2 \][/tex]?

A. 2.5 moles
B. 3 moles
C. 4 moles
D. 5 moles


Sagot :

To determine how many moles of [tex]\( O_2 \)[/tex] are required to generate 3 moles of [tex]\( CO_2 \)[/tex], let's examine the balanced chemical equation for the combustion of propane:

[tex]\[ C_3H_8 + 5 O_2 \rightarrow 4 H_2O + 3 CO_2 \][/tex]

From this balanced equation, we can see that:

- 1 mole of [tex]\( C_3H_8 \)[/tex] reacts with 5 moles of [tex]\( O_2 \)[/tex]
- This results in the formation of 3 moles of [tex]\( CO_2 \)[/tex].

Therefore, the number of moles of [tex]\( O_2 \)[/tex] required to produce 3 moles of [tex]\( CO_2 \)[/tex] can be directly obtained from the stoichiometry of the balanced equation. It states that to produce 3 moles of [tex]\( CO_2 \)[/tex], 5 moles of [tex]\( O_2 \)[/tex] are needed.

Thus, the correct answer is:
D. 5 moles