To find the product of the numerator in this unit conversion, you need to multiply the values given at the top of the table.
We have:
- 24 moles of [tex]\( C_2H_6 \)[/tex]
- 7 moles of [tex]\( O_2 \)[/tex]
We need to multiply these two values together:
[tex]\[
24 \text{ moles } C_2H_6 \times 7 \text{ moles } O_2 = 168
\][/tex]
Therefore, the product of the numerator is:
[tex]\[
168
\][/tex]