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A balloon is filled with 3. 00 l of helium at a pressure of 765 torr. What is the volume of the balloon at an altitude where the pressure is 530 torr if the temperature remains constant?

Sagot :

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.

To Learn more about Boyle law

brainly.com/question/1437490

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