A gas with a volume of 4.0L at a pressure of 205kPa is allowed to expand to a volume of 12.0L. What is the pressure in the container if the temperature remains constant?​

Sagot :

Given:

[tex]P_{1} = \text{205 kPa}[/tex]

[tex]V_{1} = \text{4.0 L}[/tex]

[tex]V_{2} = \text{12.0 L}[/tex]

Unknown:

[tex]P_{2}[/tex]

Solution:

[tex]P_{1}V_{1} = P_{2}V_{2}[/tex]

[tex]P_{2} = P_{1} × \frac{V_{1}}{V_{2}}[/tex]

[tex]P_{2} = \text{205 kPa} × \frac{\text{4.0 L}}{\text{12.0 L}}[/tex]

[tex]\boxed{P_{2} = \text{68.3 kPa}}[/tex]

#CarryOnLearning