Question

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?

Answer 1

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.

$P_{1} V _{1} = k$    .....(i)

• $P_{1}$ is initial pressure = 3 atm
• $V _{1}$ is initial volume = 3L
• k is constant

$P_{2} V _{2} = k$    (ii)

• $P_{2}$ is final pressure = ?
• $V _{2}$ is final volume = 0.5atm
• k is constant

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

$P_{1} V _{1} = P_{2} V _{2}$

3 atm× 3L=  $V _{2}$× 0.5atm

$V _{2}$  =   3 atm× 3L/0.5atm = 18 L

Boyle law used during respiration or breathing.

To Learn more about Boyle law

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