Kinetic Theory ...

In the figure, an ideal gas is expanded from volume $$V_0$$ to $$2V_0$$ under three different processes. Process 1 is isobaric, process 2 is isothermal and process 3 is adiabatic. Let $$\Delta U_1, \Delta U_2$$ and $$\Delta U_3$$ be the change in the internal energy of the gas is these three processes, Then:

Among the following, identify the substance in which molecules possess vibratory, rotatory and translatory motion, but their movements are not random.

Name $$A, B, C, D,E,$$ and $$F$$ in the following diagram showing change of state

If one mole of a monoatomic gas $$\left (\gamma = \dfrac {5}{3}\right )$$ is mixed with one mole of diatomic gas $$\left (\gamma = \dfrac {7}{5}\right )$$, the value of $$\gamma$$ for the mixture is :

According to the Kinetic Molecular Theory, temperature is directly proportional to:

A molecule of gas in a container hits one wall (1) normally and rebounds back. It suffers no collision and hits the opposite wall (2) which is at an angle of $$30^\circ$$ with wall 1. 
Assuming the collisions to be elastic and the small collision time to be the same for both the walls, the magnitude of average force by wall 2. ( $$F_2$$ ) provided to the molecule during collision satisfy :

A gaseous mixture enclosed in a vessel consists of one g mole of a gas A with $$\displaystyle \gamma =\left ( \frac{5}{3} \right ) $$ and some amount of gas B with $$\displaystyle \gamma = \frac{7}{5} $$ at a temperature The gasses A and B do not react with each other and are assumed to be ideal Find the number of g moles of the gas B if $$\displaystyle \gamma $$ for the gaseous mixture is $$\displaystyle \left ( \frac{19}{13} \right ) $$ 

If the radii of two copper spheres are in the ratio $$1 : 3$$ and increase in their temperatures are in the ratio $$9 : 1$$ then the ratio of the increase in their internal energy will be

Relation between pressure ($$P$$) and energy density ($$E$$) of an ideal gas is-

An insulated container is divided into two equal portions. One portion contains an ideal monoatomic gas at pressure $$P$$ and temperature $$T$$, while the other portion is a perfect vacuum. If a hole is opened between the two portions, the change in internal energy of the gas is