Answer:
The new pressure inside the container is 394.48 Pa.
Step-by-step explanation:
Given that,
Pressure = 550.0 kPa
Temperature = 25.0°C
Initial volume = 5.20 L
Final volume = 7.25 L
We need to calculate the new pressure inside the container
Using Boyle's law
PV = constant
![P_(1)V_(1)=P_(2)V_(2)](https://img.qammunity.org/2020/formulas/physics/middle-school/y6mhshwa0n6ibvz4u7ypgfxqrg7vp8au3b.png)
Where, P₁ = Pressure
V₁ = Initial volume
V₂ = Initial volume
Put the volume into the formula
![550*5.20=P_(2)*7.25](https://img.qammunity.org/2020/formulas/physics/high-school/dkh143rz9gmdn62jgbbkfdwoxdby6khm3x.png)
![P_(2)=(550*5.20)/(7.25)](https://img.qammunity.org/2020/formulas/physics/high-school/xinwnt66465wucc2gtu6l742nfkwh8fhqi.png)
![P_(2)=394.48\ Pa](https://img.qammunity.org/2020/formulas/physics/high-school/7at8dt8wktnfguvvzyh05exha9nbhbqiiq.png)
Hence, The new pressure inside the container is 394.48 Pa.