A container of variable volume contains oxygen gas at a pressure of 550.0 kPa. At 25.0 °C, what is the new pressure inside the container if the container is allowed to expand from an initial volume of 5.20 L to a final volume to 7.25 L

Respuesta :

Answer:

The new pressure inside the container is 394.48 Pa.

Explanation:

Given that,

Pressure = 550.0 kPa

Temperature = 25.0°C

Initial volume = 5.20 L

Final volume = 7.25 L

We need to calculate the new pressure inside the container

Using Boyle's law

PV = constant

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

Where, P₁ = Pressure

V₁ = Initial volume

V₂ = Initial volume

Put the volume into the formula

[tex]550\times5.20=P_{2}\times7.25[/tex]

[tex]P_{2}=\dfrac{550\times5.20}{7.25}[/tex]

[tex]P_{2}=394.48\ Pa[/tex]

Hence, The new pressure inside the container is 394.48 Pa.