A vertical cylinder of cross sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P10.54). (a) If n moles of an ideal gas are in the cylinder at a temperature of T, use Newton’s second law for equilibrium to show that the height h at which the piston is in equilibrium under its own weight is given bywhere P0 is atmospheric pressure. (b) Is the pressure inside the cylinder less than, equal to, or greater than atmospheric pressure? (c) If the gas in the cylinder is warmed, how would the answer for h be affected?

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Chapter1: Units, Trigonometry. And Vectors
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A vertical cylinder of cross sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P10.54). (a) If n moles of an ideal gas are in the cylinder at a temperature of T, use Newton’s second law for equilibrium to show that the height h at which the piston is in equilibrium under its own weight is given by

 width=

where P0 is atmospheric pressure. (b) Is the pressure inside the cylinder less than, equal to, or greater than atmospheric pressure? (c) If the gas in the cylinder is warmed, how would the answer for h be affected?

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