Answer:
The volume is 85.34L.
Step-by-step explanation:
1st) To calculate the volume, we can use the Boyle's Law:
![P_1*V_1=P_2*V_2](https://img.qammunity.org/2023/formulas/chemistry/college/kodbe8pblfhima5ffj6yz0x0dvch3s7vec.png)
The given information in the exercise is:
- V1: 46.5L
- P1: 16.7kPa
- P2: 9.1kPa
- V2: this is what we have to calculate.
2nd) Replacing the values in the formula:
![\begin{gathered} P_1*V_1=P_2*V_2 \\ 16.7kPa*46.5L=9.1kPa*V_2 \\ 776.55kPa*L=9.1kPa*V_2 \\ (776.55kPa*L)/(9.1kPa)=V_2 \\ 85.34L=V_2 \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/8ngfgnt5zg2vmkm069vsnb9ifwetm7wlbp.png)
So, the volume of the ammonia is 85.34L.