Respuesta :

in this question, we are given with the pressure at initial point i.e. 15 psi that undergoes compression from 470ml of volume to 260 ml.

We are asked to determine the final pressure after the compression.

For that we'd consider the Boyle's law that states that, for a gas in an iso-thermic system Pressure is inversely proportional to the Volume.

which means with the increase in Pressure, Volume of gas will reduce.

At constant Temperature, product of Pressure and Volume will be constant.

PV =  constant.

for same system at different pressure volume condition, we can say that-

[tex]P_{1}V_{1} = P_{2}V_{2}[/tex]

[tex]P_{1} = 15psi\\ V_{1} = 470ml\\ V_{2} = 260ml[/tex]

(15)(470) / (260) = [tex]P_{2}[/tex]

Final Pressure = 27.11 psi

To know more about Boyle's law:

brainly.com/question/1437490

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