1
JEE Advanced 2014 Paper 2 Offline
+3
-1

In the figure a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. The lower compartment of the container is filled with 2 moles of an ideal monatomic gas at 700 K and the upper compartment is filled with 2 moles of an ideal diatomic gas at 400 K. The heat capacities per mole of an ideal monatomic gas are $${C_v} = {3 \over 2}R$$, $${C_p} = {5 \over 2}R$$, and those for an ideal diatomic gas are $${C_v} = {5 \over 2}R$$, $${C_p} = {7 \over 2}R$$.

Consider the partition to be rigidly fixed so that it does not move. When equilibrium is achieved, the final temperature of the gases will be

A
550 K
B
525 K
C
513 K
D
490 K
2
JEE Advanced 2014 Paper 2 Offline
+3
-1

In the figure a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. The lower compartment of the container is filled with 2 moles of an ideal monatomic gas at 700 K and the upper compartment is filled with 2 moles of an ideal diatomic gas at 400 K. The heat capacities per mole of an ideal monatomic gas are $${C_v} = {3 \over 2}R$$, $${C_p} = {5 \over 2}R$$, and those for an ideal diatomic gas are $${C_v} = {5 \over 2}R$$, $${C_p} = {7 \over 2}R$$.

Now consider the partition to be free to move without friction so that the pressure of gases in both compartments is the same. Then total work done by the gases till the time they achieve equilibrium will be

A
250 R
B
200 R
C
100 R
D
$$-$$100 R
3
JEE Advanced 2013 Paper 2 Offline
+3
-1

One mole of a monatomic ideal gas is taken along two cyclic processes E $$\to$$ F $$\to$$ G $$\to$$ E and E $$\to$$ F $$\to$$ H $$\to$$ E as shown in the PV diagram. The processes involved are purely isochoric, isobaric, isothermal or adiabatic.

Match the paths in List I with the magnitudes of the work done in List II and select the correct answer using the codes given below the lists :

List I List II
P. $$G \to E$$
1. 160$${P_0}{V_0}$$ln2
Q. $$G \to H$$
2. 36$${P_0}{V_0}$$
R. $$F \to H$$
3. 24$${P_0}{V_0}$$
S. $$F \to G$$
4. 31$${P_0}{V_0}$$

A
P-4, Q-3, R-2, S-1
B
P-4, Q-3, R-1, S-2
C
P-3, Q-1, R-2, S-4
D
P-1, Q-3, R-2, S-4
4
JEE Advanced 2013 Paper 1 Offline
+2
-0.5
Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is 4 : 3. The ratio of their densities is
A
1 : 4
B
1 : 2
C
6 : 9
D
8 : 9
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