A thermodynamic system is taken from an original state $$\mathrm{A}$$ to an intermediate state $$B$$ by a linear process as shown in the figure. It's volume is then reduced to the original value from $$\mathrm{B}$$ to $$\mathrm{C}$$ by an isobaric process. The total work done by the gas from $$A$$ to $$B$$ and $$B$$ to $$C$$ would be :

Two vessels $$A$$ and $$B$$ are of the same size and are at same temperature. A contains $$1\mathrm{g}$$ of hydrogen and $$B$$ contains $$1\mathrm{g}$$ of oxygen. $${\mathrm{P}}_{\mathrm{A}}$$ and $${\mathrm{P}}_{\mathrm{B}}$$ are the pressures of the gases in $$\mathrm{A}$$ and $$\mathrm{B}$$ respectively, then $$\frac{P_A}{P_B}$$ is:

The temperature of a gas having $$2.0\times 10^{25}$$ molecules per cubic meter at $$1.38\mathrm{atm}$$ (Given, $$\mathrm{k}=1.38\times 10^{-23}{\mathrm{JK}}^{-1}$$) is :

$$N$$ moles of a polyatomic gas $$(f=6)$$ must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of $$N$$ is :

Choose the correct statement for processes A & B shown in figure.

A block of ice at $$-10^{\circ }\mathrm{C}$$ is slowly heated and converted to steam at $$100^{\circ }\mathrm{C}$$. Which of the following curves represent the phenomenon qualitatively:

If three moles of monoatomic gas $$\left(\gamma =\frac{5}{3}\right)$$ is mixed with two moles of a diatomic gas $$\left(\gamma =\frac{7}{5}\right)$$, the value of adiabatic exponent $$\gamma$$ for the mixture is

Two thermodynamical processes are shown in the figure. The molar heat capacity for process A and B are $${\mathrm{C}}_{\mathrm{A}}$$ and $${\mathrm{C}}_{\mathrm{B}}$$. The molar heat capacity at constant pressure and constant volume are represented by $${\mathrm{C}}_{\mathrm{P}}$$ and $${\mathrm{C}}_{\mathrm{V}}$$, respectively. Choose the correct statement.

At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $$47^{\circ }\mathrm{C}$$ ?

A real gas within a closed chamber at $$27^{\circ }\mathrm{C}$$ undergoes the cyclic process as shown in figure. The gas obeys $$P{V}^3=RT$$ equation for the path $$A$$ to $$B$$. The net work done in the complete cycle is (assuming $$R=8\mathrm{J}/\mathrm{mol}\mathrm{K}$$):

The temperature of a gas is $$-78^{\circ }\mathrm{C}$$ and the average translational kinetic energy of its molecules is $$\mathrm{K}$$. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes $$2\mathrm{K}$$ is :

The volume of an ideal gas $$(\gamma =1.5)$$ is changed adiabatically from 5 litres to 4 litres. The ratio of initial pressure to final pressure is :

A sample of 1 mole gas at temperature $$T$$ is adiabatically expanded to double its volume. If adiab constant for the gas is $$\gamma =\frac{3}{2}$$, then the work done by the gas in the process is :

P-T diagram of an ideal gas having three different densities $${\rho }_1,{\rho }_2,{\rho }_3$$ (in three different cases) is shown in the figure. Which of the following is correct :

The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are $$8\Omega$$ and $$10\Omega$$ respectively. After inserting in a hot bath of temperature $$400^{\circ }\mathrm{C}$$, the resistance of platinum wire is :

On celcius scale the temperature of body increases by $$40^{\circ }\mathrm{C}$$. The increase in temperature on Fahrenheit scale is :

A sample of gas at temperature $$T$$ is adiabatically expanded to double its volume. Adiabatic constant for the gas is $$\gamma =3/2$$. The work done by the gas in the process is: $$(\mu =1\text{ mole })$$

The translational degrees of freedom $$\left(f_t\right)$$ and rotational degrees of freedom $$\left(f_r\right)$$ of $${\mathrm{CH}}_4$$ molecule are:

A diatomic gas $$(\gamma =1.4)$$ does $$100\mathrm{J}$$ of work in an isobaric expansion. The heat given to the gas is :

Given below are two statements : Statement (I) : The mean free path of gas molecules is inversely proportional to square of molecular diameter. Statement (II) : Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas. In the light of the above statements, choose the correct answer from the options given below :