Question

Suppose there is a sample of xenon in a sealed rectangular container. the gas exerts a total force of 2.15 n perpendicular to one of the container walls whose dimensions are 0.127m by 0.209m. calculate the pressure p of the sample

Answer 1

To calculate the pressure of xenon gas inside a sealed container, you divide the force exerted by the gas on one of the walls by the area of that wall, resulting in a pressure of approximately 81.0 Pa.

Step-by-step explanation:

The question asks us to calculate the pressure of xenon gas in a container, given the force that it exerts on one wall of the container. Pressure is defined as the force applied per unit area, expressed in pascals (Pa) in the SI system, and can be calculated using the formula:

P = F / A

Where:

• P is the pressure,
• F is the force,
• A is the area.

To find the area of the wall, we multiply its length by its width:

A = length × width = 0.127m × 0.209m = 0.026553 m²

Now we can calculate the pressure:

P = F / A = 2.15 N / 0.026553 m² = 80.995 Pa (rounded to three significant figures).

Therefore, the pressure of the xenon gas in the sealed container is approximately 81.0 Pa.