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

MEDIUM

Earn 100

The pressure $(P)$ versus temperature $(T)$ plot of a cyclic process for an ideal gas is shown in the figure.

The corresponding density $(ρ)$ versus temperature $(T)$ plot will be

50% studentsanswered this correctly

Important Questions on Thermodynamics

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

The heat capacity of one mole an ideal is found to be

C_{V} = \frac{3 R (1 + a R T)}{2}

where

a

is constant. The equation obeyed by this gas during a reversible adiabatic expansion is:

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

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>Thermodynamic Processes and Indicator Diagrams

One mole of an ideal monatomic gas undergoes a process described by the equation

P V^{3} =

constant. The heat capacity of the gas during this process is

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

The bulk modulus of a gas is defined as,

B = \frac{- V d P}{d V}

. For an adiabatic process, the variation of

B

is proportional to

P^{n}

. For an ideal gas,

n

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

For the given cyclic process $C A B$ as shown for a gas, the work done is:

Question Image

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

An engine operates by taking

n

moles of an ideal gas through the cycle

A B C D A

shown in figure. The thermal efficiency of the engine is:

(Take

C_{v} = 1.5 R

, where

R

is gas constant)

Question Image

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

One mole of an ideal monatomic gas is taken along the path

A B C A

as shown in the

P - V

diagram. The maximum temperature attained by the gas along the path

B C

is given by:
Question Image

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

One mole of a monoatomic ideal gas expanded by a process described by

P V^{3} = C

where

C

is a constant. The heat capacity of the gas during the process is given by (

R

is the gas constant)

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where V is the volume and T is the temperature). Which of the statements below is (are) true?

Question Image

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

An ideal gas goes through a reversible cycle

a \to b \to c \to d

has the V - T diagram shown below. Process

d \to a a n d b \to c

are adiabatic.

Question Image

The corresponding P - V diagram for the process is (all figures are schematic and not drawn to scale) :

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

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>Thermodynamic Processes and Indicator Diagrams

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:

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

In the $P - V$ diagram below the dashed curved line is an adiabatic

Question Image

For a process that is described by a straight line joining two points $X$ and $Y$ on the adiabatic (solid line in the diagram), heat is: (Hint: Consider the variations in temperature from $X$ and $Y$ along the straight line)

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

A gas at initial temperature

T

undergoes sudden expansion from volume

V

2 V .

Then.

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

The three processes in a thermodynamic cycle shown in the figure are : Process $1 \to 2$ is isothermal; Process $2 \to 3$ is isochoric (volume remains constant); Process $1 \to 3$ is adiabatic.

Question Image

The total work done by the ideal gas in this cycle is, $10 J .$ The internal energy decreases by, $20 J$ in the isochoric process. The work done by the gas in the adiabatic process is, $- 20 J$ . The heat added to the system in the isothermal process is

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

Two moles of an ideal monoatomic gas occupies a volume $V$ at $27^{o} C$ . The gas expands adiabatically to a volume $2 V$ . Calculate $(a)$ the final temperature of the gas and $(b)$ change in its internal energy.

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

A monoatomic gas is compressed from a volume of

2 m^{3}

to a volume of

1 m^{3}

at a constant pressure of

100 N m^{2}

. Then it is heated at constant volume by supplying

150 J

of energy. As a result, the internal energy of the gas

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

A gas obeying the equation of state

P V = R T

undergoes a hypothetical reversible process described by the equation,

P V^{\frac{5}{3}} \exp (- \frac{P V}{E_{0}}) = C_{1}

, where

C_{1}

and

E_{0}

are dimensioned constants. Then, for this process, the thermal compressibility at high temperature

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

Half mole of an ideal monoatomic gas is heated at a constant pressure of

1 atm

from

20 ° C

90 ° C

. Work done by the gas is

(

Gas constant,

R = 8.21 J {mol}^{- 1} K^{- 1}

)

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Processes and Indicator Diagrams

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:

The pressure P versus temperature T plot of a cyclic process for an ideal gas is shown in the figure. The corresponding density ρ versus temperature T plot will be

Important Questions on Thermodynamics

Learn and Prepare for any exam you want !

The pressure $(P)$ versus temperature $(T)$ plot of a cyclic process for an ideal gas is shown in the figure.

The corresponding density $(ρ)$ versus temperature $(T)$ plot will be