A vessel of volume V contains a mixture of 1 mole of hydrogen and 1 mole oxygen (both considered as ideal). Let `f_(1)(v) dv,` denote the fraction of molecules with speed between v and (v+ dv) with `f_(2)(v)dv`, similarly for oxygen . Then ,

A vessel of volume V contains a mixture of 1 mole of Hydrogen and 1 mole of Oxygen (both considered as ideal). Let f_1 (v) dv, denote the fraction of molecules with speed between v and (v + dv) with f_2 (v) dv, similarly for oxygen. Then

A vessel or volume V contain a mixture of 1 mole of hydrogen and 1 mole of oxygen 9both considered as ideal). Let f_1 (v) dv denote the fraction of molecules with speed between v and (v+ dv) with f_2 (v)dv, similarly for oxygen. Then

A vessel of volume V contains n_(1) moles of oxygen and n_(2) moles of carbon dioxide at temperature T . Assuming the gases to be ideal, find, (a) the pressure of the mixture, (b) the mean molar mass of the mixture.

A vessel of volume V contains a mixture of ideal gases at temperature T. The gas mixture contains n _(1), n _(2) and n _(3) moles of three gases. Assuming ideal gas system, the pressure of the mixture is

int((1+v)/(1-v))dv

The Maxwell-Boltzmann distribution of molecular speeds in a sample of an ideal gas can be expressed as f=(4)/(sqrt(pi))((m)/(2kT))^(3//2)v^(2)e^(-(mv^(2))/(2kT)).dv Where f represent the fraction of total molecules that have speeds between v and v + dv.m, k and T are mass of each molecule, Boltzmann constant and temperature of the gas. (a) What will be value of int_(v=0)^(v=oo)fdv ? (b) It is given that int_(0)^(oo) v^(3)e^(-av^(2))dv=(1)/(2a^(2)) Find the average speed of gas molecules at temperature T.

A vessel of volume V_0 contains N molecule of an ideal gas. Find the probability of n molecules getting into a certain separated part of the vessel of volume V . Examine, in particle, the case V = V_0//2 .