56 Aptitude Test Problems in Physics
2.7. A vessel of volume V = 30 1 is sepa-
rated into three equal parts by stationary
semipermeable thin particles (Fig. 61). The
H2 02 N 2
Fig. 61
left, middle, and right parts are filled with
mH, = 30 g of hydrogen, mo, = 160 g of
oxygen, and mN, = 70 g of nitrogen respec-
tively. The left partition lets through only
hydrogen, while the right partition lets
through hydrogen and nitrogen.
What will be the pressure in each part of
the vessel after the equilibrium has been
set in if the vessel is kept at a constant
temperature T = 300 K?
2.8*. The descent module of a spacecraft
approaches the surface of a planet along the
vertical at a constant velocity, transmit-
ting the data on outer pressure to the
spacecraft. The time dependence of pressure
(in arbitrary units) is shown in Fig. 62.
The data transmitted by the module after
landing are: the temperature T = 700 K
and the free-fall acceleration g = 10 mis 2.
Determine (a) the velocity v of landing of
the module if the atmosphere of the planet
is known to consist of carbon dioxide CO 2 ,
and (b) the temperature Th at an altitude
h = 15 km above the surface of the planet.