Answer:
![V_2=0.046L](https://img.qammunity.org/2021/formulas/chemistry/college/lvv96sc9r47zbmw25xx76u6j8c71mywmh4.png)
Step-by-step explanation:
Hello,
In this case, we apply the Boyle's law as an inversely proportional relationship allowing us to understand the pressure-volume behavior as shown below:
![P_1V_1=P_2V_2](https://img.qammunity.org/2021/formulas/physics/high-school/z2nkrx5zmdtkkms997yjs4edj5t3o0sadf.png)
In such a way, solving for the final volume V2, we obtain:
![V_2=(P_1V_1)/(P_2)=(0.2L*176mmHg)/(760mmHg) \\\\V_2=0.046L](https://img.qammunity.org/2021/formulas/chemistry/college/88on4dupl14p22m9c98k28r73ljdttb1xk.png)
Best regards.