Question 1 :
STATEMENT-1: There is a natural asymmetry between converting work to heat and converting heat to work.<br/><br/>STATEMENT-2: No process is possible in which the sole result is the absorption of heat from a reservoir and its complete conversion into work.

Question 2 :
Two cylinders A and B fitted with pistons contain an equal number of moles of an ideal monoatomic gas at $400 K$. The piston of A is free to move while that of B is held fixed. The same amount of heat energy is given to the gas in each cylinder. If the rise in temperature of the gas in A is $42 K$, the rise in temperature of the gas in B is

Question 3 :
Two cylinders $A$ and $B$ fitted with pistons contain equal amounts of an ideal diatomic gas at $300\ K$. The piston of $A$ is free to move, while that of $B$ is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in $A$ is $30\ K$, then the rise in temperature of the gas in $B$ is<br>

Question 4 :
In a thermodynamic process pressure of a fixed mass of a gas is changed in such a manner that the gas releases $20J$ of heat and $8J$ of work is done on the gas. If initial internal energy of the gas was $30J$, what will be the fixed internal energy?

Question 5 :
Two identical containers $ A $ and $ B $ have frictionless pistons. They contain the same volume of an ideal gas at the same temperature. The mass of the gas in $ A $ is $ m_{A} $ and that in $ B $ is $ m_{B} $. The gas in each cylinder is now allowed to expand isothermally to double the initial volume. The change in the pressure in $ A $ and $ B $, respectively, is $ \Delta p $ and $ 1.5 \Delta p $ Then

Question 6 :
A thermally insulated rigid container contains an ideal gas. It is heated through a resistance coil of 100$\Omega $ by passing a current of 1 A for five minutes, then change in internal energy of the gas is<br/>

Question 7 :
An iron block of mass $2\;kg$, falls from a height of $10m$. After colliding with the ground it loses $25\%$ energy to surroundings and rest is gained as heat. Then find the temperature rise of the block. (Take sp. heat of iron $470\;J/kg^{\circ}C$)<br/>

Question 9 :
An insulated container containing monoatomic gas of molar mass m is moving with a velocity $v_0$. If the container is suddenly stopped. The change in temperature is?

Question 11 :
An ideal gas is subjected to cyclic process involving four thermodynamic states, the amounts of heat (Q) and work (W) involved in each of these states are<br>$Q_1\,=\,6000\,J,$<br>$Q_2\,=\,-\,5500\,J;$<br>$Q_3\,=\,-\,3000\,J;$<br>$Q_4\,=\,3500\,J$<br>$W_1\,=\,2500\,J;$<br>$W_2\,=\,-\,1000\,J;$<br>$W_3\,=\,-\,1200\,J;$<br> $W_4\,=\,x\,J.$<br>The ratio of the net work done by the gas to the total heat absorbed by the gas is . The values of $\times$ and $\eta$ respectively are<br>

Question 12 :
Consider a rectangular block of wood moving with a velocity $v_0$ in a gas at temperature T and mass density $\rho$. Assume the velocity is along x-axis and the area of cross-section of the block perpendicular to $v_0$ is A. The drag force on the block is (where m is the mass of the gas molecule).

Question 13 :
Find the external work done by the system inkcal, when 20 keal of heat is supplied to thesystem and the increase in the internal energy is 8400$\mathrm { J } ( \mathrm { J } = 4200 \mathrm { J } / \mathrm { kcal } ) ?$