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A sample of n2 occupies 3. 0l at 3. 0atm. What volume will it occupy when the pressure is changed to 0. 5atm and the temperature remain constant?

Sagot :

It will occupy 18 L volume when the pressure is changed to 0. 5 atm and the temperature remain constant.

Calculation,

According to Boyle law, the pressure of a given quantity of gas varies inversely with its volume at constant temperature.

[tex]P_{1} V _{1} = k[/tex]    .....(i)

  • [tex]P_{1}[/tex] is initial pressure = 3 atm
  • [tex]V _{1}[/tex] is initial volume = 3L
  • k is constant

[tex]P_{2} V _{2} = k[/tex]    (ii)

  • [tex]P_{2}[/tex] is final pressure = ?
  • [tex]V _{2}[/tex] is final volume = 0.5atm
  • k is constant

Combining equation (i) and (ii). we get,

[tex]P_{1} V _{1} = P_{2} V _{2}[/tex]

3 atm× 3L=  [tex]V _{2}[/tex]× 0.5atm

[tex]V _{2}[/tex]  =   3 atm× 3L/0.5atm = 18 L

Boyle law used during respiration or breathing.

To Learn more about Boyle law

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