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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If $A B$ is an isothermal, $B C$ is an isochoric and $A C$ is an adiabatic, which of the graphs correctly represents given in figure?

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Important Questions on Thermodynamics

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Process

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:

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Process

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 Process

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

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Process

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 Process

Two moles of an ideal gas are allowed to expand from a volume of

10 {dm}^{3}

2 m^{3}

300 K

against a pressure of

101 .325 KPa .

Calculate the work done.

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Process

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 Process

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 Process

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 Process

One mole of an ideal monatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature,

27^{o} C

. The magnitude of work done on the gas will be:

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Process

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>Thermodynamic Process

A gas at initial temperature

T

undergoes sudden expansion from volume

V

2 V .

Then.

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Process

n

moles of an ideal gas with constant volume heat capacity

C_{v}

undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is:

HARD

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Process

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 Process

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

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Process

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

MEDIUM

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Process

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.

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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 Process

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

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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 Process

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 Process

The Volume

(V)

of a monoatomic gas varies with its temperature

(T)

, as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state

A

to state

B

, is

EASY

Physics>Heat and Thermodynamics>Thermodynamics>Thermodynamic Process

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

Question Image

If AB is an isothermal, BC is an isochoric and AC is an adiabatic, which of the graphs correctly represents given in figure?

Important Questions on Thermodynamics

Learn and Prepare for any exam you want !

If $A B$ is an isothermal, $B C$ is an isochoric and $A C$ is an adiabatic, which of the graphs correctly represents given in figure?