HARD

JEE Advanced

IMPORTANT

Earn 100

A mixture of ideal gas containing $5$ moles of monatomic gas and $1$ mole of rigid diatomic gas is initially at pressure $P_{0},$ volume $V_{0}$ and temperature $T_{0} .$ If the gas mixture is adiabatically compressed to a volume $\frac{V_{0}}{4}$ , then the correct statement(s) is/are,
(Given $2^{1.2} = 2.3; 2^{3.2} = 9.2; R$ is gas constant)

36.59% studentsanswered this correctly

Important Questions on Thermodynamics

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Thermodynamics>JEE Advanced Paper 2 - 2019>Q 4

Answer the following by appropriately matching the lists based on the information given in the paragraph.
In a thermodynamics process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by

T Δ X,

where

T

is temperature of the system and

Δ X

is the infinitesimal change in a thermodynamic quantity

X

of the system. For a mole of monatomic ideal gas

X = \frac{3}{2} R l n (\frac{T}{T_{A}}) + R l n (\frac{V}{V_{A}}) .

Here,

R

is gas constant,

V

is volume of gas,

T_{A}

and

V_{A}

are constants.
The List-I below gives some quantities involved in a process and List-II gives some possible values of these quantities.

	List I		List II
(I)	Work done by the system in process $1 \to 2 \to 3$	(P)	$\frac{1}{3} R T_{0} l n 2$
(II)	Change in internal energy in process $1 \to 2 \to 3$	(Q)	$\frac{1}{3} R T_{0}$
(III)	Heat absorbed by the system in process $1 \to 2 \to 3$	(R)	$R T_{0}$
(IV)	Heat absorbed by the system in process $1 \to 2$	(S)	$\frac{4}{3} R T_{0}$
		(T)	$\frac{1}{3} R T_{0} (3 + l n 2)$
		(U)	$\frac{5}{6} R T_{0}$

If the process carried out on one mole of monatomic ideal gas is as shown in figure in the

T

V

-diagram with

P_{0} V_{0} = \frac{1}{3} R T_{0},

the correct match is,

Question Image

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Thermodynamics>JEE Advanced Paper 2 - 2019>Q 5

T Δ X,

where

T

is temperature of the system and

Δ X

is the infinitesimal change in a thermodynamic quantity

X

of the system. For a mole of monatomic ideal gas

X = \frac{3}{2} R l n (\frac{T}{T_{A}}) + R l n (\frac{V}{V_{A}}) .

Here,

R

is gas constant,

V

is volume of gas,

T_{A}

and

V_{A}

are constants.
The List-I below gives some quantities involved in a process and List-II gives some possible values of these quantities.

	Column - I		Column - II
(I)	Work done by the system in process $1 \to 2 \to 3$	(P)	$\frac{1}{3} R T_{0} l n 2$
(II)	Change in internal energy in process $1 \to 2 \to 3$	(Q)	$\frac{1}{3} R T_{0}$
(III)	Heat absorbed by the system in process $1 \to 2 \to 3$	(R)	$R T_{0}$
(IV)	Heat absorbed by the system in process $1 \to 2$	(S)	$\frac{4}{3} R T_{0}$
		(T)	$\frac{1}{3} R T_{0} (3 + l n 2)$
		(U)	$\frac{5}{6} R T_{0}$

If the process on one mole of monatomic ideal gas is as shown in the

P V

-diagram with

P_{0} V_{0} = \frac{1}{3} R T_{0},

the correct match is

Question Image

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Thermodynamics>JEE Advanced Paper 2 - 2018>Q 6

One mole of an ideal monatomic gas undergoes an adiabatic expansion in which its volume becomes eight times its initial value. If the initial temperature of the gas is

100 K

and the universal gas constant

R = 8.0 J mo l^{- 1} K^{- 1}

, then how much is the decrease in its internal energy (in

J

) ?

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Thermodynamics>JEE Advanced Paper 2 - 2016>Q 8

A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure

P_{i} = 10^{5} Pa and volume V_{i} = 10^{- 3} m^{3}

changes to a final state at

P_{f} = (\frac{1}{32}) \times 10^{5} Pa and V_{f} = 8 \times 10^{- 3} m^{3}

in an adiabatic quasi-static process, such that

P^{3} V^{5} =

constant. Consider another thermodynamic process that brings the system from the same initial state to the same final state in two steps: an isobaric expansion at

P_{i}

followed by an isochoric (isovolumetric) process at volumes

V_{f}

. The amount of heat supplied to the system in the two step process is approximately

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Thermodynamics>JEE Advanced Paper 2 - 2015>Q 9

An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initially the gas is at temperature

T_{1}

, pressure

P_{1}

and volume

V_{1}

and the spring is in its relaxed state. The gas is then heated very slowly to temperature

T_{2}

, pressure

P_{2}

and volume

V_{2}

. During this process the piston moves out by a distance

x

. Ignoring the friction between the piston the cylinder, the correct statement(s) is (are)

Question Image

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Thermodynamics>JEE Advanced Paper 1 - 2020>Q 12

Consider one mole of helium gas enclosed in a container at initial pressure

P_{1}

and volume

V_{1}

. It expands isothermally to volume

4 V_{1}

. After this, the gas expands adiabatically and its volume becomes

32 V_{1}

. The work done by the gas during isothermal and adiabatic expansion processes are

W_{iso}

and

W_{a d i a},

\frac{W_{iso}}{W_{adia}} = f \ln (2)

, then

f

is _________ .

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Thermodynamics>JEE Advanced Paper 1 - 2019>Q 13

One mole of a monoatomic ideal gas goes through a thermodynamic cycle, as shown in the volume versus temperature

(V - T)

diagram. The correct statement(s) is/are:

[

R

is the gas constant]
Question Image

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Thermodynamics>JEE Advanced Paper 1 - 2018>Q 14

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

A mixture of ideal gas containing 5 moles of monatomic gas and 1 mole of rigid diatomic gas is initially at pressure P0, volume V0 and temperature T0. If the gas mixture is adiabatically compressed to a volume V04, then the correct statement(s) is/are, (Given 21.2= 2.3; 23.2=9.2; R is gas constant)

Important Questions on Thermodynamics

Learn and Prepare for any exam you want !