Three different processes that can occur in an ideal monoatomic gas are shown in the P vs V diagram. The paths are labelled as A → B , A → C and A → D . The change in internal energies during these process are taken as E A B , E A C and E A D and the work done as W A B , W A C and W A D . The correct relation between these parameters are:

E A B = E A C = E A D , W A B > 0 , W A C = 0 , W A D < 0

E A B = E A C < E A D , W A B > 0 , W A C = 0 , W A D < 0

E A B < E A C < E A D , W A B > 0 , W A C > W A D

E A B > E A C > E A D , W A B < W A C < W A D

Thermodynamic processes are indicated in the following diagram. Match the following Column – 1 Column - 2 P. Process I a. Adiabatic Q. Process II b. Isobaric R. Process III c. Isochoric S. Process IV d. Isothermal

P → c , Q → a , R → d , S → b

P → a , Q → c , R → d , S → b

P → c , Q → d , R → b , S → a

P → d , Q → b , R → a , S → c

EASY

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What is diathermic boundary?

Important Questions on Thermodynamics

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

Three different processes that can occur in an ideal monoatomic gas are shown in the $P$ vs $V$ diagram. The paths are labelled as $A \to B, A \to C$ and $A \to D$ . The change in internal energies during these process are taken as $E_{A B}, E_{A C}$ and $E_{A D}$ and the work done as $W_{A B}, W_{A C}$ and $W_{A D}$ . The correct relation between these parameters are:

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EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

Consider the following thermodynamical variables
(i) Pressure
(ii) Internal Energy
(iii) Volume
(iv) Temperature

Out of these, the intensive variable(s) is (are)

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

If system

A

is in thermal equilibrium with

B

and

B

is separately in thermal equilibrium with

C,

then

A

and

C

are in thermal equilibrium. From which thermodynamics law, does this follow?

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

2 kg

of a monoatomic gas is at a pressure of

4 \times 10^{4} N m^{- 2}

. The density of the gas is

8 kg m^{- 3}

. What is the order of energy of the gas due to its thermal motion?

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

A system goes from $A$ to $B$ via two processes $I$ and $II$ shown in the figure. If $Δ U_{1}$ and $Δ U_{2}$ are the changes in internal energies in the processes I and Il respectively

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EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then:

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

Which of the following statement is incorrect

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

Thermodynamic processes are indicated in the following diagram.

Question Image

Match the following

Column – 1	Column - 2
P. Process I	a. Adiabatic
Q. Process II	b. Isobaric
R. Process III	c. Isochoric
S. Process IV	d. Isothermal

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

Pressure versus temperature graph of an ideal gas at constant volume $V$ is shown by the straight-line $A$ . Now mass of the gas is doubled and the volume is halved then the corresponding pressure versus temperature graph will be shown by the line

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HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

A one mole of ideal gas goes through a process in which pressure

P

varies with volume

V

P = 3 - g {(\frac{V}{V_{0}})}^{2}

, where

V_{0}

is a constant. The maximum attainable temperature by the ideal gas during this process is (All quantities are in

SI

units and

R

is gas constant)

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

n

moles of an ideal gas undergoes a process

A \to B

as shown in the figure. The maximum temperature of the gas during the process will be:
Question Image

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

A balloon is filled at

27 ° C

and

1 atm

pressure by

500 m^{3}

He

. At

- 3 ° C

and

0.5 atm

pressure, the volume of

He

will be

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

An ideal monoatomic gas occupies a volume of

2 m^{3}

at a pressure of

3 \times 10^{6} Pa .

The energy of the gas is:

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

Consider a spherical shell of radius R at temperature T. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume

u = \frac{U}{V} \propto T^{4}

and pressure

p = \frac{1}{3} (\frac{U}{V})

. If the shell now undergoes an adiabatic expansion the relation between T and R is:

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

One mole of an ideal diatomic gas undergoes a transition from $A$ to $B$ along a path $AB$ as shown in the figure,

Question Image

The change in internal energy of the gas during the transition is:

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

Which one of the following equations does not correctly represent the first law of thermodynamics for the given processes involving an ideal gas? (Assume non- expansion work is zero)

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding P-V diagrams in column 3 of the table. Consider only the path from state 1 to state 2. W denotes the corresponding work done on the system. The equations and plots in the table have standard notations as used in thermodynamic process. Here

γ

is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas is

n

Column – 1	Column – 2	Column – 3
(I) $W_{1 \to 2} = \frac{1}{γ - 1} (P_{2} V_{2} - P_{1} V_{1})$	(i) Isothermal	(P)
(II) $W_{1 \to 2} = - P V_{2} + P V_{1}$	(ii) Isochoric	(Q)
(III) $W_{1 \to 2} = 0$	(iii) Isobaric	(R)
(IV) $W_{1 \to 2} = - n R T \ln (\frac{V_{2}}{V_{1}})$	(iv) Adiabatic	(S)

Which one of the following options is the correct combination?

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

Consider the given diagram. An ideal gas is contained in a chamber (left) of volume $V$ and is at an absolute temperature $T .$ It is allowed to rush freely into the right chamber of volume $V$ which is initially vacuum. The whole system is thermally isolated. What will be the final temperature, if the equilibrium has been attained?

Question Image

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

The pressure versus temperature graph of an ideal gas is shown in the figure below. If the density of gas at point $A$ is $ρ_{0}$ , then the density of the gas at point $B$ will be

Question Image

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

A closed tank has two compartments A and B, both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure

1

). If the old partition is replaced by a new partition which can slide and conduct heat but does not allow the gas to leak across (Figure

2

), the volume (in

m^{3}

) of the compartment A after the system attains equilibrium is

\frac{20}{x} m^{3}

. Write the value of

x

What is diathermic boundary?

Important Questions on Thermodynamics

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