Answer:
The answer is 414.95 mL
Step-by-step explanation:
To find the volume when the pressure is changed to 546 kPa , we use the formula for Boyle's law which is
![P_1V_1 = P_2V_2](https://img.qammunity.org/2021/formulas/chemistry/college/fxekn8n9ovsrdxe1ruji7l6v174xunazlc.png)
where
P1 is the initial pressure
P2 is the final pressure
V1 is the initial volume
V2 is the final volume
Since we are finding the final volume
![V_2 = (P_1V_1)/(P_2) \\](https://img.qammunity.org/2021/formulas/chemistry/high-school/a9irg5gqnjwspj0qygfdnp0ukpv2e4soiq.png)
We have
![V_2 = (384000 * 590)/(546000) = (226560000)/(546000) \\ = 414.945054...](https://img.qammunity.org/2021/formulas/chemistry/college/hi2qeq42yhmmn98qtvx2kn74ne8yqqhhmr.png)
We have the final answer as
414.95 mL
Hope this helps you