Thermodynamics, Statistical Physics, and Quantum Mechanics

(^110) SOLUTIONS
The ratio ofenergies from(S.4.21.10) and(S.4.21.7) is
Finally,
4.22 Puncture (Moscow Phys-Tech)
a) UseBernoulli’sequation(see, for instance, Landau and Lifshitz,Fluid
Mechanics, Chapter 5) for an arbitrary flowline with one point inside the
tire and anotherjustoutside it. We thenhave
where and are the enthalpy per unit mass inside and outside the
vessel,respectively, and and are the velocities of thegas. The velocity
is very small and can be disregarded. Then the velocity of the gas outside
is
For an ideal gas the heatcapacity does not dependon temperature, so we
may write for theenthalpy
Therefore, thevelocity is