Question

An ideal gas is enclosed in a cylinder with a movable piston on top of it. The piston is free to move up and down. The weight of the piston balances the pressure of the gas on the piston and thus keeps the pressure of the gas constant. The piston has a weight of 119 N and an area of 12.00 x 10⁻⁴ m² What is the pressure of the gas?

Answer 1

The pressure of the gas in the cylinder with a movable piston, given a piston weight of 119 N and a piston area of 12.00 x 10−⁴ m², is calculated to be 992500 Pa.

Step-by-step explanation:

To calculate the pressure of the gas in the cylinder with a movable piston, we can use the definition of pressure, which is the force applied perpendicularly over a surface area. We are given the weight of the piston, which acts as the force due to gravity, and the area of the piston. The pressure P is calculated using the formula P = F/A, where F is the force and A is the area.

Given:

• Weight of the piston (force due to gravity), F = 119 N
• Area of the piston, A = 12.00 x 10−⁴ m²

Now we can calculate the pressure:

P = F/A

P = 119 N / (12.00 x 10−⁴ m²)

P = 992500 Pa

Therefore, the pressure of the gas is 992500 Pa (pascals).