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The pressure of the machine has to be reduced to 0.4 atm in order for the breathing machine to bring 500 ml of air into the lungs.

What is the relationship between volume and pressure?

Volume and pressure are inversely relate as given by the Boyle's law equation below:

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

The complete question is as follows:

You Want To Design A Breathing Machine That Will Bring 500 ML Of Air Into The Lungs. You Begin With 100 ML Of Air At 2 atm Of Pressure. How Would You Change The Pressure In Your Machine To Accomplish Your Goal?

From the question, [tex]P_{1} = 2\:atm, V_{1} = 100\:mL, P_{2}=?, V_{2} = 500\:mL[/tex]

The change in pressure, [tex]P_{2}[/tex] will be:

[tex]P_{2} = \frac{P_{1}V_{1}}{V_{2}}\\ P_{2} =\frac{100\times2}{500}=0.4\:atm[/tex]

Therefore, the pressure of the machine has to be reduced to 0.4 atm in order for the breathing machine to bring 500 ml of air into the lungs.

Learn more about pressure and volume at: https://brainly.com/question/469270

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