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Answer :
Answer:
The answer is 223.0 cm³
Explanation:
To find the volume when the pressure is at 202.6 kPa we use 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]
From the question
P1 = 99.3 kPa = 99300 Pa
V1 = 455 cm³
P2 = 202.6 kPa = 202600
So we have
[tex]V_2 = \frac{99300 \times 455}{202600} = \frac{45181500}{202600} \\ = 223.008390...[/tex]
We have the final answer as
223.0 cm³
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