As shown in Figure P1.25, a gas is contained in a piston

Chapter 1, Problem 1.25

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As shown in Figure P1.25, a gas is contained in a piston– cylinder assembly. The piston mass and cross-sectional area are denoted m and A, respectively. The only force acting on the top of the piston is due to atmospheric pressure, \(p_{\mathrm{atm}}\). Assuming the piston moves smoothly in the cylinder and the local acceleration of gravity g is constant, show that the pressure of the gas acting on the bottom of the piston remains constant as gas volume varies. What would cause the gas volume to vary?

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