To find the product of the numerator, we will follow a step-by-step approach. Here's how it is done:
1. List the values in the numerator:
- 24 moles of [tex]\( C_2H_6 \)[/tex]
- 7 moles of [tex]\( O_2 \)[/tex]
These are the factors in the numerator that need to be multiplied together.
2. Multiply the values in the numerator:
[tex]\[
24 \text{ moles } C_2H_6 \times 7 \text{ moles } O_2
\][/tex]
Now, perform the multiplication:
[tex]\[
24 \times 7 = 168
\][/tex]
Thus, the product of the numerator is:
[tex]\[
\boxed{168}
\][/tex]
