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 . (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 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 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.

The root mean square velocity of the gas molecule is 300 m/s. What will be the root mean square speed of he molecule if the atomic weight is doubled and absolute temperature is halved ?

Root mean square speed of an ideal gas at 300 K is 500 m/s. Temperature is increased four times then root mean square speed will become

The weight of 350 ml a diatomic gas at 0^(@)C and 2atm pressure is 1 gm.The weight of one atom is :-

The root mean square speed of the molecules of a diatomic gas is v. When the temperature is doubled, the molecules dissociates into two atoms. The new root mean square speed of the atom is

A mixture of two gases is contained in a vessel. The Gas 1 is monoatomic and gas 2 is diatomic and the ratio of their molecular masses M 1 ​ /M 2 ​ =1/4. the ratio of root mean square speeds of the molecules of two gases is

The density of carbon dioxide gas at 27^(@)C and at pressure 1000 N//m^(2) is 1 kg m^(-3) . Find the root mean square speed of its molecule at 0^(@)C . (pressure is constant)

The root mean square speed fo molecules of nitrogen gas is v at a certain temperature. When the temperature is doubled, the molecules dissociate into individual atoms. The new rms speed of the atom is: