Suppose there is a sample of xenon in a rectangular container. The gas exerts a total force of 4.47 N perpendicular to one of the container walls, whose dimensions are 0.125 m by 0.209 m . Calculate the pressure of the sample.
Question
Question
Suppose there is a sample of xenon in a rectangular container. The gas exerts a total force of 4.47 N perpendicular to one of the container walls, whose dimensions are 0.125 m by 0.209 m . Calculate the pressure of the sample.
Answer:
The pressure is [tex]P=170.61 Nm^{-2}[/tex].
Explanation:
Calculate the area of the rectangular container.
A=LB
Here, L is the length and B is the breadth.
Put L=0.125 m and B= 0.209 m.
A=(0.125)(0.209)
[tex]A = 0.0262 m^{2}[/tex]
The expression for the pressure in terms of area and force is as follows;
[tex]P=\frac{F}{A}[/tex]
Here, P is the pressure and F is the force.
Put [tex]A = 0.0262 m^{2}[/tex] and F= 4.47 N.
[tex]P=\frac{4.47}{0.0262}[/tex]
[tex]P=170.61 Nm^{-2}[/tex]
Therefore, the pressure of the given sample is [tex]P=170.61 Nm^{-2}[/tex].