QIC SA vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P10.58). (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 pis- ton is in equilibrium under its own weight is given by Gas nRT mg + PA Figure P10.58 where P, 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 cylin- der is warmed, how would the answer for h be affected?

QIC SA vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P10.58). (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 pis- ton is in equilibrium under its own weight is given by Gas nRT mg + PA Figure P10.58 where P, 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 cylin- der is warmed, how would the answer for h be affected?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

QIC SA vertical cylinder of
cross-sectional area A is fitted with
a tight-fitting, frictionless piston of
mass m (Fig. P10.58). (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 pis-
ton is in equilibrium under its own
weight is given by
Gas
nRT
mg + PA
Figure P10.58
where P, 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 cylin-
der is warmed, how would the answer for h be affected?

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