The following are some solved problems on kinetic theory of gases.
1.
calculate the value of Boltzmann constant given
the root mean square speed hydrogen at
15oC is 1890m/s (NA =6.02*1023)
2.
differentiate the mean square speed and the square of the
mean speed of a molecule of gas, by
using the following arbitrary speed, 1,2,3,4 and 5 unit
3.
calculate the mean and probable kinetic energy
of translation of the molecules of 20gm of ammonia at 270C ( take
molecular weight of ammonia = 17.02gm/mole)
and Cp =(2KBT/m)1/2 and D2
=8KT/πm
4.
calculate the temperature at which the root mean
square velocity of a gas will be half its value at 00C,
assume P= constant.
5.
drive an
expression for the work done by a gas undergoing isothermal compression or
expansion from V +V2 volume for a gas
which obeys the vander waal equationsof state.
6.
0.08m3 helium gas occupies a volume
of 0,04m3 at a temperature of 300k and pressure of 2*105Pa,
calculate (i) mass (ii)the rms speed of its
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