P-V diagram of a diatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be -

(1) 4 R

(2) 2.5 R

(3) 3 R

(4) $\frac{4R}{3}$

Concept Questions :-

Molar Specific heat
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Difficulty Level:

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 $\left({C}_{P}/{C}_{V}=\gamma \right)$ 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) $\frac{{P}_{1}{\left(\frac{{V}_{0}}{2}\right)}^{\gamma }}{{\left(\frac{{V}_{0}}{2}+Ax\right)}^{\gamma }}$

(4) $\frac{{P}_{2}{\left(\frac{{V}_{0}}{2}\right)}^{\gamma }}{{\left(\frac{{V}_{0}}{2}+Ax\right)}^{\gamma }}$

Concept Questions :-

Types of processes
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Difficulty Level:

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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Difficulty Level:

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

Concept Questions :-

Basic terms
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Difficulty Level:

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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Difficulty Level:

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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Difficulty Level:

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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Difficulty Level:

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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Difficulty Level:

Which of the following graphs correctly represents the variation of $\beta =-\left(dV/dP\right)/V$ with P for an ideal gas at constant temperature

(1) (2) (3) (4) Concept Questions :-

Types of processes
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Difficulty Level:

A thermodynamic process is shown in the figure. The pressures and volumes corresponding to some points in the figure are : ${P}_{A}=3×{10}^{4}Pa,\text{\hspace{0.17em}}{P}_{B}=8×{10}^{4}Pa$ and ${V}_{A}=2×{10}^{-3}{m}^{3},\text{\hspace{0.17em}}{V}_{D}=5×{10}^{-3}{m}^{3}$. 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