Question

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?

Answer 1

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.

$P_{1} V_{1} =k$            .....(i)

$P_{1}$  is initial pressure =765 torr

$V_{1}$ is initial volume = 3L

k is constant

$P_{2} V_{2} =k$             ....(ii)

$P_{2}$ is final pressure = 530 torr

$V_{2}$  is final volume =?

k is constant

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

$P_{1} V_{1} =P_{2} V_{2}$

765 torr × 3L= $V_{2}$  ×530 torr

$V_{2}$   =  765 torr × 3L/530 torr = 4.33 L

Boyle law used during respiration or breathing.

To Learn more about Boyle law

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