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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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?
Transcribed Image Text: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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