The volume of the balloon at an altitude where the pressure is 530 torr if the temperature remains constant is 4.33 L
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 =765 torr
[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 = 530 torr
[tex]V_{2}[/tex] is final volume =?
k is constant
Combining equation (i) and (ii). we get,
[tex]P_{1} V_{1} =P_{2} V_{2}[/tex]
765 torr × 3L= [tex]V_{2}[/tex] ×530 torr
[tex]V_{2}[/tex] = 765 torr × 3L/530 torr = 4.33 L
Boyle law used during respiration or breathing.
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