One part of a cylinder is filled with one mole of a monatomic ideal gas at a pressure of 1 atm and temperature of 300 K. A massless piston separates the gas from the other section of the cylinder which is evacuated but has a spring at equilibrium extension attached to it and to the opposite wall of the cylinder. The cylinder is thermally insulated from the rest of the world, and the piston is fixed to the cylinder initially and then released. After reaching equilibrium, the volume occupied by the gas is double the original. Neglecting the thermal capacities of the cylinder, piston, and spring, find the temperature and pressure of the gas. 0000

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 78P: Two moles of a monatomic ideal gas such as helium is compressed adiabatically and reversibly from a...
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One part of a cylinder is filled with one mole of a monatomic ideal gas at a
pressure of 1 atm and temperature of 300 K. A massless piston separates the gas
from the other section of the cylinder which is evacuated but has a spring at
equilibrium extension attached to it and to the opposite wall of the cylinder. The
cylinder is thermally insulated from the rest of the world, and the piston is fixed to
the cylinder initially and then released. After reaching equilibrium, the volume
occupied by the gas is double the original. Neglecting the thermal capacities of the
cylinder, piston, and spring, find the temperature and pressure of the gas.
Transcribed Image Text:One part of a cylinder is filled with one mole of a monatomic ideal gas at a pressure of 1 atm and temperature of 300 K. A massless piston separates the gas from the other section of the cylinder which is evacuated but has a spring at equilibrium extension attached to it and to the opposite wall of the cylinder. The cylinder is thermally insulated from the rest of the world, and the piston is fixed to the cylinder initially and then released. After reaching equilibrium, the volume occupied by the gas is double the original. Neglecting the thermal capacities of the cylinder, piston, and spring, find the temperature and pressure of the gas.
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