In the example shown in the figure, (Figure 1) the "container" is a cylinder whose volume changes as the piston slides in or out. Suppose a gas is confined within the cylinder. The pressure of the gas is p, and the area of the cylinder is A. Consider the work done as the gas expands, pushing the piston to the right. Call the small distance that the piston moves Δx. a)What force F does the gas exert on the piston? (Note that the positive x axis is to the right in the figure.) Express the force in terms of p, A, and any constants. b)If the piston moves a small distance Δx, what is W, the work done by the gas? Express the work done by the gas in terms of Δx and other given quantities. c)What is ΔV, the increase in volume of the gas? Express the increase in volume in terms of Δx and other given quantities.

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