Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity `25.0 m^(3)` at a temperature of `27^(@) C` and 1 atm pressure. (Boltzmann constant `= 1.38 xx 10^(-23) JK^(-1))`.

The total number of air molecules in a room of capacity 20 m^(3) at a temperature of 27^(@)C and 1 atm pressure is

Estimate the average thermal energy of a helium atom at (i) room temperature (27^(@)C) . Boltzmann constant =1.38 xx 10^(-23) JK^(-1)

The average translational kinetic energy of air molecules is 0.040 eV (1eV=1.6xx10^(-19)J). Calculate the temperature of the air. Blozmann constant K=1.38xx10^(-23) J K^(-1).

The diameter of a gas molecule is 2.4 xx 10^(-10) m . Calculate the mean free path at NTP. Given Boltzmann constant k = 1.38 xx 10^(-23) J molecule^(-1) K^(-1) .

The pressure exerted by an ideal gas is P = (1)/(3) (M)/(V)C^(2) , where the symbols have their usual meaning. Using standard gas equation, PV = RT, we find that C^(2) = (3 RT)/(M) or C^(2) oo T . Average kinetic energy of translation of one mole of gas =(1)/(2) MC^(2) = (3 RT)/(2) with the help of the passage given above, choose the most appropriate alternative for each of the following quetions : Average thermal energy of a helium atom at room temperature (27^(@)C) is Given, Boltzmann constant k = 1.38 xx 10^(-23) JK^(-1) :

The average translational kinetic energy of nitrogen gas molecule is 0.02eV (1eV - 1.6 xx 10^(-19)J) . Calculate the temperatuire of the gas. Boltzmann constant k = 1.38 xx 10^(-23) J//K .

Calculate the number of molecules per unit volume of a perfect gas at 27^(@)C and 10mm of mercury. Density of mercury =13.6xx10^(3) kgm^(-3) and Boltzmann constant =1.38xx10^(-23)JK^(-1)

The rms speed of particle of mass 5 xx 10^(-17) kg . In their random motion in air at NTP will be (Boltzmann's constant) K = 1.38 xx 10^(-23) J//K