Kinetic Theory ...

If the potential energy of a gas molecule is $$U=\dfrac{M}{r^6}-\dfrac{N}{r^{12}}, M$$ and $$N$$ being positive constants, then the potential energy at equilibrium must be

One mole of an ideal monoatomic gas is heated at a constant pressure from $$0^oC$$ to $$100^oC$$. Then the change in the internal energy of the gas is (Given $$R = 8.32 {Jmol}^{-1}K^{-1}$$)

The number of degrees of freedom for a rigid diatomic molecule is ____________.

In a thermodynamic process, helium gas obeys the law, $$T\ P^{-2/5} =$$ constant. The heat is given to $$n$$ moles of $$He$$ in order to raise the temperature from $$T$$ to $$2T$$ is :

During an experiment an ideal gas is found to obey an additional law $$V{p}^{2}=$$ constant. The gas is initially at temperature $$T$$ and volume $$V$$, when it expands to volume $$2V$$, the resulting temperature is $$T_2$$:

If a gas mixture contains 2 moles of $$O_2$$ and 4 moles of Ar at temperature $$T$$, then what will be the total energy of the system (neglecting all vibrational modes)

$$4.48L$$ of an ideal gas at STP requires $$12cal$$ to raise the temperature by $${15}^{o}C$$ at constant volume. The $${C}_{P}$$ of the gas is ______ cal.

The average kinetic energy of thermal neutron is of the order of :
(Boltzmann's constant $${ k }_{ B }=8\times { 10 }^{ -5 }{ eV }/{ K }$$)

The speed of sound in hydrogen at NTP 1270 m/s. Then, the speed in a mixture of hydrogen and oxygen in the ratio 4 : 1 by volume will be :

In Mayer's realation
$${ C }_{ P }-{ C }_{ V }=R$$
'$$R$$' stands for: