Kinetic Theory ...

K.E. of molecular motion appears as:

A rigid container has a hole in its wall. When the container is evacuated, its weight is 100 gm. When someair is filled in it at 27C, its weight becomes 200 gm. Now the temperature of air inside is increased by $$\Delta$$ T, the weight becomes 150 gm. $$\Delta$$ T should be :

The relation between the internal energy $$U$$ and adiabatic constant $$\gamma$$ is

Energy of all molecules of a monatomic gas having a volume V and pressure P is $$\frac{3}{2} PV$$. The total translational kinetic energy of all molecules of a diatomic gas at the same volume and pressure is

A gas mixture consists of $$2\:mol$$ of oxygen and $$4\:mol$$ of argon at temperature $$T$$. Neglecting all vibrational modes, the total internal energy of the system is

A cylinder of capacity $$20\:L$$ is filled with $$H_2$$ gas. The total average kinetic energy of translatory motion of its molecules is $$1.5\times 10^5\:J$$. The pressure of hydrogen in the cylinder is

According to Kinetic theory of gases, molecules are:

A box contains $$N$$ molecules of a perfect gas at temperature $$T_1$$ and pressure $$P_1$$. The number of molecules in the box is doubled keeping the total kinetic energy of the gas same as before. If the new pressure is $$P_2$$ and temperature is $$T_2$$, then

Gaseous hydrogen contained initially under standard conditions in a sealed vessel of volume $$V= 5L$$ was cooled by $$\Delta T = 55 K$$. The internal energy of the gas will change by

Two containers of equal volume contain the same gas at pressures $$P_1$$ and $$P_2$$ and absolute temperatures $$T_1$$ and $$T_2$$, respectively. On joining the vessels, the gas reaches a common pressure $$P$$ and common temperature $$T$$. The ratio $$\displaystyle\frac{P}{T}$$ is equal to