14 PROBLEMS
4.22 Puncture (Moscow Phys-Tech)
A compressed ideal gas flows out of a small hole in a tire which has a
pressure inside.Find the velocity of gas outside the tire in the vicinity of the hole if
the flow is laminar and stationary and the pressure outside is
Estimate this velocity for a flow of molecular hydrogen into a vacuum
at a temperature Express this velocity in terms of the
velocity of sound inside the tire,a)b)Heat and Work
4.23 Cylinder with Massive Piston (Rutgers, Moscow
Phys-Tech)Consider moles of anidealmonatomic gasplaced in avertical cylinder.
The top of the cylinder is closed by a piston of mass M and cross section
A (see Figure P.4.23).Initially the piston is fixed, and the gas has volume
and temperature Next, the piston is released, and after several
oscillations comes to a stop. Disregarding friction and the heat capacity
of the piston and cylinder, find the temperature and volume of the gas at
equilibrium. The system is thermally isolated, and the pressureoutside the
cylinder is