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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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