Answer:
![\boxed {\boxed {\sf 5.6 \ L \ O_2}}](https://img.qammunity.org/2022/formulas/chemistry/high-school/hrrkwyz2kvxpcbr5utjkq2q8xmqabzdr89.png)
Step-by-step explanation:
We are asked to find the volume of 0.25 moles of oxygen gas.
At standard temperature and pressure or STP, one mole of any gas has a volume of 22.4 liters.
We want to convert 0.25 moles of oxygen gas or O₂ to liters. We will use dimensional analysis, so we must set up a conversion factor.
![\frac {22.4 \ L \ O_2}{1 \ mol \ O_2}](https://img.qammunity.org/2022/formulas/chemistry/high-school/4brc0uq8j3z2m3jepxevcr92izj6962977.png)
We are converting 0.25 moles of oxygen gas, so we multiply the conversion factor by this value.
![0.25 \ mol \ O_2 *\frac {22.4 \ L \ O_2}{1 \ mol \ O_2}](https://img.qammunity.org/2022/formulas/chemistry/high-school/opolvbd68sgwzizjw05qtdrwsibz9in3bv.png)
The units of moles of oxygen gas cancel.
![0.25 *\frac {22.4 \ L \ O_2}{1 }}](https://img.qammunity.org/2022/formulas/chemistry/high-school/vbw70hiisp59pdw6r32qoagyxyx11ixg6a.png)
![0.25 * 22.4 \ L \ O_2](https://img.qammunity.org/2022/formulas/chemistry/high-school/3g9lhj58rsvxpdfuisniur9e3qbhb2222f.png)
![5.6 \ L \ O_2](https://img.qammunity.org/2022/formulas/chemistry/high-school/i2tjvygj989opkaw0ufjflcxggy2nemykd.png)
0.25 moles of oxygen gas occupy 5.6 liters at standard temperature and pressure.