Accordig to Law of equipartition of energy, for any dynamical system in thermal equilibrium, the total energy in distributed equality amongst all the degrees of freedom. The energy associated with each molecule per degree of freedom is `(1)/(2) k_(B)T` where `k_(B)` is Boltzmann constant and T is temperature of the system. the law emphasises that in thermal equilibrium, at temperature T, each more of energy : translation, rotational and vibrational, contribute an average energy equal `1/2 k_(B)*T`
Read the above passage and answer the following questions :
(i) What is the internal energy of one gram mole of a polyatomic gas having an degree of freedom ?
(ii) What value of life do you learn from this law ?

Explanation

(i) Internal energy of one molecules of gas having n degrees of freedom = ` n xx 1/2 k_(B)T`. If N is Avogardro's number, then internal energy of one gram mole of the gas
`U=n xx 1/2 k_(B) T xx N = n/2 RT` ,
Where `R = k_(B) xx N `= gas constant for one gram mole of the gas.
(ii) The law emphasises that total energy is distributed equally amongst all the degrees of freedom. There is no preferred degree of freedom. so is true in nature. God has distributed equally all the natural resources without any distinction of nation, cast or creed. In day to day life, we should not distinguish people on the basis of colour, cast or creed. everyone should be treated equally with love, affection and mutual respect.