Following figure shows on adiabatic cylindrical container of volume V0 divided by an adiabatic smooth piston (area of cross-section = A) in two equal parts. An ideal gas (CP/CV=γ) is at pressure P1 and temperature T1 in left part and gas at pressure P2 and temperature T2 in right part. The piston is slowly displaced and released at a position where it can stay in equilibrium. The final pressure of the two parts will be (Suppose x = displacement of the piston)

(1) P2

(2) P1

(3) P1V02γV02+Axγ

(4) P2V02γV02+Axγ

Concept Questions :-

Types of processes
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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 

(1) 30 K

(2) 18 K

(3) 50 K

(4) 42 K

Concept Questions :-

Molar Specific heat
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A system goes from A to B via two processes I and II as shown in figure. If ΔUI and ΔUII are the changes in internal energies in the processes I and II respectively, then 

(1) ΔUII > ΔUI

(2) ΔUII < ΔUI

(3) ΔUI = ΔUII

(4) Relation between ΔUI and ΔUII can not be determined

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A thermodynamic system is taken through the cycle PQRSP process. The net work done by the system is -

(1) 20 J

(2) – 20 J

(3) 400 J

(4) – 374 J

Concept Questions :-

Cyclic process
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An ideal gas is taken around ABCA as shown in the above P-V diagram. The work done during a cycle is 

(1) 2PV

(2) PV

(3) 1/2PV

(4) Zero

Concept Questions :-

Cyclic process
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The P-V diagram shows seven curved paths (connected by vertical paths) that can be followed by a gas. Which two of them should be parts of a closed cycle if the net work done by the gas is to be at its maximum value 

(1) ac

(2) cg

(3) af

(4) cd

Concept Questions :-

Work done by gas
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An ideal gas of mass m in a state A goes to another state B via three different processes as shown in figure. If Q1, Q2 and Q3 denote the heat absorbed by the gas along the three paths, then -

(1) Q1 < Q2 < Q3

(2) Q1 < Q2 = Q3

(3) Q1 = Q2 > Q3

(4) Q1 > Q2 > Q3

Concept Questions :-

First law of thermodynamics
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Which of the following graphs correctly represents the variation of β=(dV/dP)/V with P for an ideal gas at constant temperature 

(1)

(2)

(3)

(4)

Concept Questions :-

Types of processes
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A thermodynamic process is shown in the figure. The pressures and volumes corresponding to some points in the figure are : PA=3×104Pa,PB=8×104Pa and VA=2×103m3,VD=5×103m3. In process AB, 600 J of heat is added to the system and in process BC, 200 J of heat is added to the system. The change in internal energy of the system in process AC would be 

(1) 560 J

(2) 800 J

(3) 600 J

(4) 640 J

Concept Questions :-

First law of thermodynamics
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P-V plots for two gases during adiabatic process are shown in the figure. Plots 1 and 2 should correspond respectively to -

(1) He and O2

(2) O2 and He

(3) He and Ar

(4) O2 and N2

Concept Questions :-

Types of processes
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