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

Answer:

The pressure is $P=170.61 Nm^{-2}$.

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;

$P=\frac{F}{A}$

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

Put  $A = 0.0262 m^{2}$ and F= 4.47 N.

$P=\frac{4.47}{0.0262}$

$P=170.61 Nm^{-2}$

Therefore, the pressure of the given sample is $P=170.61 Nm^{-2}$.