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 1

The pressure is
`P=170.61 Nm^(-2)`.

Step-by-step 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)

`A = 0.0262 m^(2)`

The expression for the pressure in terms of area and force is as follows;

`P=(F)/(A)`

Here, P is the pressure and F is the force.

Put
`A = 0.0262 m^(2)` and F= 4.47 N.

`P=(4.47)/(0.0262)`

`P=170.61 Nm^(-2)`

Therefore, the pressure of the given sample is
`P=170.61 Nm^(-2)`.