Question

In a container with a movable piston, where F is the force acting on a piston of area A, pressure is defined as force per unit area. Thus, the pressure of the gas is [formula].

Options:
A) P = F - A
B) P = F × A
C) P = F / A
D) P = F + A

Answer 1

Pressure is defined as the force divided by the area over which the force is applied. In the given container with a movable piston, the pressure of the gas is determined by the force acting on the piston (F) and the area of the piston (A). Therefore, the correct formula for the pressure of the gas is P = F/A (Option C).

Step-by-step explanation:

Pressure is defined as the force divided by the area perpendicular to the force over which the force is applied, or P = F/A. In the given container with a movable piston, the pressure of the gas is determined by the force acting on the piston (F) and the area of the piston (A). Therefore, the correct formula for the pressure of the gas is P = F/A (Option C). It's important to note that pressure is directly proportional to force and inversely proportional to area. Increasing the force or decreasing the area will result in an increase in pressure, while decreasing the force or increasing the area will result in a decrease in pressure.