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

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An adiabatic process occurs in

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Important Questions on Thermodynamics

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

Which of the following statement is incorrect

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)

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)

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

For the isothermal reversible expansion of an ideal gas

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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

The Clausius-Clayperon equation helps to calculate

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?

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EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

Among the following, the set of parameters that represents path functions, is:
i)

q + w

ii)

q

iii)

w

iv)

H - T S

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

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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MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

A gas is allowed to expand in a well-insulated container against a constant external pressure of

2.5 atm

from an initial volume of

2.50 L

to a final volume of

4.50 L .

The change in internal energy

ΔU

of the gas in joules will be

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

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

An ideal gas in a thermally insulated vessel at internal pressure =

P_{1}

, volume =

V_{1}

and absolute temperature =

T_{1}

expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are

P_{2}

V_{2}

and

T_{2}

, respectively. For this expansion,

Question Image

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?

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

5

moles of an ideal gas at

100 K

are allowed to undergo reversible compression till its temperature becomes

200 K .

C_{V} = 28 J K^{- 1},

calculate

∆ U

and

∆ p V

for the process.

(R = 8.0 J K^{- 1} m o l^{- 1})

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

For one mole of an ideal gas, which of these statements must be true?
(a) Internal energy

(U)

and enthalpy

(H)

each depends on temperature.
(b) Compressibility factor

Z

is not equal to 1
(c)

C_{P, m} - C_{V, m} = R

(d)

dU = C_{v} dT

for any process

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermal Equilibrium

An ideal gas is allowed to expand from

1 L

10 L

against a constant external pressure of

1

bar. The work done in

k J

is:

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

Question Image

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:

Question Image

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

An adiabatic process occurs in

Important Questions on Thermodynamics

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