58 Aptitude Test Problems in Physics
at a constant temperature only provided that
the gas is ideal.
Will the product pV be higher or lower
under a very strong compression of a gas if
no assumption is made concerning the ideal
nature of the gas?
2.12*. A horizontal cylindrical vessel of
length 2/ is separated by a thin heat-insu-
lating piston into two equal parts each of
which contains n moles of an ideal monatom-
ic gas at a temperature T. The piston is
connected to the end faces of the vessel by un-2 1Fig. 63deformed springs of rigidity k each (Fig. 63).
When an amount of heat Q is supplied
to the gas in the right part, the piston is
displaced to the left by a distance x = //2.
Determine the amount of heat Q' given
away at the temperature T to a thermostat
with which the gas in the left part is in
thermal contact all the time.
2.13. A thermally insulated vessel is divid-
ed into two parts by a heat-insulating pis-
ton which can move in the vessel without
friction. The left part of the vessel contains
one mole of an ideal monatomic gas, and