Assume that a room at sea level is filled with a gas of nitrogen molecules N2 in thermal equilibrium at -10.0 °C (negative ten degrees Celsius). There are 7 protons and 7 neutrons in the nucleus of a nitrogen atom N. You may take the masses of the proton and the neutron to be the same, and ignore the mass of the electrons. 1 atm=1.01x105 N/m² , h=1.05x10 34 J-s , m,=1.67x10-27 kg, ke = 1.38x1023 J/K . a) What is the (particle) number density n according to the ideal gas law? b) Compare the number density n with the quantum concentration ng at the same temperature. c) Is the gas in the classical or quantum regime?

Assume that a room at sea level is filled with a gas of nitrogen molecules N2 in thermal equilibrium at -10.0 °C (negative ten degrees Celsius). There are 7 protons and 7 neutrons in the nucleus of a nitrogen atom N. You may take the masses of the proton and the neutron to be the same, and ignore the mass of the electrons. 1 atm=1.01x105 N/m² , h=1.05x10 34 J-s , m,=1.67x10-27 kg, ke = 1.38x1023 J/K . a) What is the (particle) number density n according to the ideal gas law? b) Compare the number density n with the quantum concentration ng at the same temperature. c) Is the gas in the classical or quantum regime?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 1PQ

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