A cubical box of side 1 meter contains helium gas (atomic weight 4) at a pressure of `100N//m^2.` During and observation time of 1 second, an atom travelling with the root-mean-square speed parallel to one of the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms. Take `R=25/3 Jmole-K and k=1.38xx10^-23J//K`
Evaluate the average kinetic energy per atom.

A cubical box of side 1 m contains helium gas (atomic weight 4) at a pressure of 100 N//m^2 . During an observation time of 1 second , an atom travelling with the root - mean - square speed parallel to one of the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms . Take R = (25)/3 j //mol - K and k = 1.38 xx 10^-23 J//K . Evaluate the temperature of the gas.

A cubical box of side 1 m contains helium gas (atomic weight 4) at a pressure of 100 N//m^2 . During an observation time of 1 second , an atom travelling with the root - mean - square speed parallel to one of the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms . Take R = (25)/3 j //mol - K and k = 1.38 xx 10^-23 J//K . Evaluate the total mass of helium gas in the box.

A cubical box of side 1 m contains helium gas (atomic weight 4) at a pressure of 100 N//m^2 . During an observation time of 1 second , an atom travelling with the root - mean - square speed parallel to one of the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms . Take R = (25)/3 j //mol - K and k = 1.38 xx 10^-23 J//K . (a) Evalite the temperature of the gas. (b) Evaluate the average kinetic energy per atom. ( c) Evaluate the total mass of helium gas in the box.

A tank of volume 0.2 m^3 contains helium gas at a temperature of 300 K and pressure 1.0 xx 10^5 N m^(-2) . Find the amount of heat required to raise the temperature to 400 K . The molar heat capacity of helium at constant volume is 3.0 cal K^(-1 ) mol^(-1) . Neglect any expansion in the volume of tank.

A sample of helium and neon gases has a temperature of 300 K and pressure of 1.0 atm . The molar mass of helium is 4.0 g//mol and that of neon is 20.2 g//mol . (a) Find the rms speed of the helium atoms and of the neon atoms. (b) What is the average kinetic energy per atom of each gas ?

An oxygen molecule has a mass of 5.3 xx 10^(-26) kg anda moment of inertia of 1.94 xx 10^(-46) kg m^2 about an axis passing through the centre and perpendicular to the line joining the two oxygen atoms. The molecule is moving at a speed of 500 m/s and its rotational kinetic energy is two-thirds its translational K.E. Calculate its angular velocity.

The avrage kinetic energy of molecules in a gas at temperature T is 1.5 KT find the temperature at which the average kinetic energy of the molecules of hydrogen equals the binding energy of its atoms will hydrogen remain in molecles form at this temperature ? Take k = 8.62xx 10^(-5) eVK^(-1)

What is the de-Broglie wavelength of nitrogen molecule in air at 300K ? Assume that the molecule is moving with the root mean square speed of molecules at this temperature. (Atomic mass of nitrogen =14.0076U ) Plank's constant= 6.63xx10^(-34)Js , Boltzmann constant =1.38xx10^(-23)JK^(-1)

What is the de-Broglie wavelength of nitrogen molecule in air at 300K ? Assume that the molecule is moving with the root mean square speed of molecules at this temperature. (Atomic mass of nitrogen =14.0076U ) Plank's constant= 6.63xx10^(-34)Js , Boltzmann constant =1.38xx10^(-23)JK^(-1)

Gas molecules each of mass 10^(-26) kg are taken in a container of volume 1 dm^(3) . The root mean square speed of gas molecules is 1 km sec^(-1) .What is the temperature fo gas molecules. (Given : N_(A) =6xx10^(23),R=8J//mol.K )