Answer:
The answer is 414.95 mL
Explanation:
To find the volume when the pressure is changed to 546 kPa , we use the formula for Boyle's law which is
[tex]P_1V_1 = P_2V_2[/tex]
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
[tex]V_2 = \frac{P_1V_1}{P_2} \\[/tex]
We have
[tex]V_2 = \frac{384000 \times 590}{546000} = \frac{226560000}{546000} \\ = 414.945054...[/tex]
We have the final answer as
414.95 mL
Hope this helps you
