Answer
$0.080$ mole of $CO_2$ is produced from 0.100 mole of $O_2$.
Work Step by Step
1. Find the mole-mole conversion factors:
According to the coefficients: 5 moles $O_2$ = 4 moles $CO_2$
$\frac{ 5 \space moles \space O_2}{ 4 \space moles \space CO_2}$ and $\frac{ 4 \space moles \space CO_2}{ 5 \space moles \space O_2}$
2. Use the mole-mole conversion factors to calculate the amount of equivalent $CO_2$ in moles:
$ 0.100$ mole $O_2 \times \frac{ 4 \space moles \space CO_2}{ 5 \space moles \space O_2} = 0.080$ mole $CO_2$