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Consider the equations below.

[tex]\[
\begin{aligned}
H_2 & \rightarrow 2H \\
C_2H_4 + H & \rightarrow C_2H_5 \\
C_2H_5 + H & \rightarrow C_2H_6
\end{aligned}
\][/tex]

When these equations are added together, what will the overall equation be?

A. [tex]\(C_2H_4 + H_2 \rightarrow C_2H_6\)[/tex]

B. [tex]\(H_2 + C_2H_4 + 2H + C_2H_5 \rightarrow 2H + C_2H_5 + C_2H_6\)[/tex]

C. [tex]\(C_2H_4 + C_2H_5 + H_2 \rightarrow C_2H_5 + C_2H_6\)[/tex]

Sagot :

GinnyAnswer
To determine the overall equation by adding the provided reactions, let's start by writing down the equations and analyzing each step:

1. [tex]\( \text{H}_2 \rightarrow 2 \text{H} \)[/tex]
This equation tells us that one molecule of [tex]\(\text{H}_2\)[/tex] dissociates into two hydrogen atoms.

2. [tex]\( \text{C}_2\text{H}_4 + \text{H} \rightarrow \text{C}_2\text{H}_5 \)[/tex]
This reaction shows that one molecule of ethene ([tex]\(\text{C}_2\text{H}_4\)[/tex]) reacts with one hydrogen atom to form one molecule of [tex]\(\text{C}_2\text{H}_5\)[/tex].

3. [tex]\( \text{C}_2\text{H}_5 + \text{H} \rightarrow \text{C}_2\text{H}_6 \)[/tex]
Here, one molecule of [tex]\(\text{C}_2\text{H}_5\)[/tex] reacts with one hydrogen atom to form one molecule of ethane ([tex]\(\text{C}_2\text{H}_6\)[/tex]).

Now, let's sum these equations:

[tex]\[ \begin{aligned} \text{H}_2 &\rightarrow 2 \text{H} \\ \text{C}_2\text{H}_4 + \text{H} &\rightarrow \text{C}_2\text{H}_5 \\ \text{C}_2\text{H}_5 + \text{H} &\rightarrow \text{C}_2\text{H}_6 \\ \end{aligned} \][/tex]

Adding them together, we get:

[tex]\[ \text{H}_2 + \text{C}_2\text{H}_4 + \text{H} + \text{C}_2\text{H}_5 + \text{H} \rightarrow 2 \text{H} + \text{C}_2\text{H}_5 + \text{C}_2\text{H}_6 \][/tex]

Notice that [tex]\(\text{C}_2\text{H}_5\)[/tex] appears on both sides of the equation, and so do the [tex]\(\text{H}\)[/tex] atoms. They can be canceled out:

[tex]\[ \text{H}_2 + \text{C}_2\text{H}_4 \rightarrow \text{C}_2\text{H}_6 \][/tex]

Therefore, the overall equation is:

[tex]\[ \text{C}_2\text{H}_4 + \text{H}_2 \rightarrow \text{C}_2\text{H}_6 \][/tex]

So, the overall balanced chemical equation is:

[tex]\[ \text{C}_2\text{H}_4 + \text{H}_2 \rightarrow \text{C}_2\text{H}_6 \][/tex]
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