Question

Suppose there is a sample of xenon in a sealed rectangular container. The gas exerts a total force of 3.79 N perpendicular to one of the container walls, whose dimensions are 0.111 m by 0.219 m. Calculate the pressure p of the sample.

Answer 1

To find the pressure of xenon gas in a container, divide the force exerted by the gas (3.79 N) by the area of the container wall (0.111 m × 0.219 m), which yields a pressure of 155.892 N/m² or Pascals.

Step-by-step explanation:

The student is asked to calculate the pressure exerted by xenon gas in a sealed rectangular container. Pressure is defined as the force exerted per unit area.

To find the pressure p, the total force exerted by the gas on the wall of the container is divided by the area of the wall. The area of the rectangular wall is obtained by multiplying its length and width.

Using the provided dimensions of the wall (0.111 m by 0.219 m) and the total force (3.79 N), the pressure can be calculated as follows:

Area = length × width = 0.111 m × 0.219 m = 0.024309 m²

Pressure = force / area = 3.79 N / 0.024309 m² = 155.892 N/m² or Pascals.