Let's solve the problem step-by-step:
1. Identify the given units and values:
- We have [tex]\(24 \text { moles of } C_2H_6\)[/tex] in the numerator.
- We have [tex]\(2 \text { moles of } C_2H_6\)[/tex] in the denominator.
2. Set up the division:
- We need to find the product by dividing the numerator value by the denominator value:
[tex]\[
\frac{24 \text { moles } C_2H_6}{2 \text { moles } C_2H_6}
\][/tex]
3. Perform the division:
- Divide [tex]\(24\)[/tex] by [tex]\(2\)[/tex]:
[tex]\[
\frac{24}{2} = 12
\][/tex]
Therefore, the product of the numerator is [tex]\(12.0\)[/tex], which is already the simplified result without rounding.