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*Simulator***Previous Years AIEEE/JEE Main Questions**

Q. Assuming the gas to be ideal the work done on the gas in taking it from A to B is :-
(1) 400 R (2) 500 R (3) 200 R (4) 300

**[AIEEE-2009]**
Q. The work done on the gas in taking it from D to A is :-
(1) –690 R (2) +690 R (3) –414 R (4) +414 R

**[AIEEE-2009]**
Q. The net work done on the gas in the cycle ABCDA is :-
(1) 1076 R (2) 1904 R (3) Zero (4) 276 R

**[AIEEE-2009]**
Q. A diatomic ideal gas is used in a carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from V to 32 V, the efficiency of the engine is :-
(1) 0.25 (2) 0.5 (3) 0.75 (4) 0.99

**[AIEEE-2010]**
Q. A Carnot engine operating between temperatures $\mathrm{T}_{1}$ and $\mathrm{T}_{2}$ has efficientcy $\frac{1}{6} .$ When $\mathrm{T}_{2}$ is lowered
by $62 \mathrm{K},$ its efficiency increases to $\frac{1}{3} .$ Then $\mathrm{T}_{1}$ and $\mathrm{T}_{2}$ are, respectively:-
(1) 330 K and 268 K (2) 310 K and 248 K (3) 372 K and 310 K (4) 372 K and 330 K

**[AIEEE-2011]**
Q. The specific heat capacity of a metal at low temperautre (T) is given as $\mathrm{C}_{\mathrm{p}}\left(\mathrm{kJk}^{-1} \mathrm{kg}^{-1}\right)=32\left(\frac{\mathrm{T}}{400}\right)^{3}$ A 100 gram vessel of this metal is to be cooled from 20°K to 4°K by a special refrigerator operating at room temperature (27°C). The amount of work required to cool the vessel is:-
(1) equal to 0.002 kJ
(2) greater than 0.148 kJ
(3) between 0.148 kJ and 0.028 kJ
(4) less than 0.028 kJ

**[AIEEE-2011]**
Q. A container with insulating walls is divided into two equal parts by a partition fitted with a valve. One part is filled with an ideal gas at a pressure P and temperature T, whereas the other part is completely evacuated. If the valve is suddenly opened, the pressure and temperature of the gas will be :-
(1) $\frac{\mathrm{P}}{2}, \mathrm{T}$
(2) $\frac{\mathrm{P}}{2}, \frac{\mathrm{T}}{2}$
(3) P, T
(4) $\mathrm{P}, \frac{\mathrm{T}}{2}$

**[AIEEE-2011]**
Q. Helium gas goes through a cycle ABCDA (consisting of two isochoric and two isobaric lines) as shown in figure. Efficiency of this cycle is nearly (Assume the gas to be close to ideal gas) :-

**[AIEEE-2012]**
Q. A Carnot engine, whose efficiency is 40% takes in heat from a source maintained at a temperature of 500 K. It is desired to have an engine of efficiency 60%. Then, the intake temperature for the same exhaust (sink) temperature must be :-
(1) 600 K
(2) efficiency of Carnot engine cannot be made larger than 50%
(3) 1200 K
(4) 750 K

**[AIEEE-2012]**
Q. The above p-v diagram represents the thermodynamic cycle of an engine, operating with an ideal monoatomic gas. The amount of heat, extracted from the source in a single cycle is :
(1) $\mathrm{p}_{0} \mathrm{v}_{0}$
( 2)$\left(\frac{13}{2}\right) \mathrm{p}_{0} \mathrm{v}_{0}$
( 3)$\left(\frac{11}{2}\right) \mathrm{p}_{0} \mathrm{v}_{0}$
(4) $4 \mathrm{p}_{0} \mathrm{v}_{0}$

**[jEE-Mains-2013]**
Q. One mole of diatomic ideal gas undergoes a cyclic process ABC as shown in figure. The process BC is adiabatic. The temperatures at A, B and C are 400 K, 800 K and 600 K respectively. Choose the correct statement :

**[jEE-Mains-2014]**
Q. 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 $\mathrm{u}=\frac{\mathrm{U}}{\mathrm{V}} \propto \mathrm{T}^{4}$ and pressure $\mathrm{p}=\frac{1}{3}\left(\frac{\mathrm{U}}{\mathrm{v}}\right)$. If the shell now undergoes an adiabatic expansion the relation between T and R is –
(1) $\mathrm{T} \propto \frac{1}{\mathrm{R}}$
(2) $\mathrm{T} \propto \frac{1}{\mathrm{R}^{3}}$
(3) T $\propto \mathrm{e}^{-\mathrm{R}}$
(4) $\mathrm{T} \propto \mathrm{e}^{-3 \mathrm{R}}$

**[jEE-Mains-2015]**
Q. ‘n’ moles of an ideal gas undergoes a process $\mathrm{A} \rightarrow \mathrm{B}$ as shown in the figure. The maximum temperature of the gas during the process will be :
(1) $\frac{9 \mathrm{P}_{0} \mathrm{V}_{0}}{\mathrm{nR}}$ (1) $\frac{9 \mathrm{P}_{0} \mathrm{V}_{0}}{\mathrm{nR}}$ (3) $\frac{3 \mathrm{P}_{0} \mathrm{V}_{0}}{2 \mathrm{nR}}$ (4) $\frac{9 \mathrm{P}_{0} \mathrm{V}_{0}}{2 \mathrm{nR}}$

**[jEE-Mains-2016]**
Q. An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity C remains constant. If during this process the relation of pressure P and volume V is given by $\mathrm{P} \mathrm{V}^{\mathrm{n}}$ = constant, then n is given by (Here $\mathrm{C}_{\mathrm{P}}$ and $\mathrm{C}_{\mathrm{v}}$ are molar specific heat at constant pressure and constant volume, respectively) :-
(1) $\mathrm{n}=\frac{\mathrm{C}-\mathrm{C}_{\mathrm{V}}}{\mathrm{C}-\mathrm{C}_{\mathrm{P}}}$
(2) $\mathrm{n}=\frac{\mathrm{C}_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}}$
(3) $\quad \mathrm{n}=\frac{\mathrm{C}-\mathrm{C}_{\mathrm{P}}}{\mathrm{C}-\mathrm{C}_{\mathrm{V}}}$
(4) $\mathrm{n}=\frac{\mathrm{C}_{\mathrm{P}}-\mathrm{C}}{\mathrm{C}-\mathrm{C}_{\mathrm{V}}}$

**[jEE-Mains-2016]**
Q. $\mathrm{C}_{\mathrm{p}}$ and $\mathrm{C}_{\mathrm{v}}$ are specific heats at constant pressure and constant volume respectively. It is observed that
$\mathrm{C}_{\mathrm{p}}-\mathrm{C}_{\mathrm{v}}=$ = a for hydrogen gas $\mathrm{C}_{\mathrm{p}}-\mathrm{C}_{\mathrm{v}}=$ = b for nitrogen gas The correct relation between a and b is :
(1) a = 14 b
(2) a = 28 b
(3) $a=\frac{1}{14} b$
(4) a = b

**[jEE-Mains-2017]**
Q. Two moles of an ideal monoatomic gas occupies a volume V at $27^{\circ}$ C. The gas expands adiabatically to a volume 2V. Calculate (a) the final temperature of the gas and (b) change in its internal energy.
(1) (a) 195 K (b) –2.7 kJ
(2) (a) 189 K (b) –2.7 kJ
(3) (a) 195 K (b) 2.7 kJ
(4) (a) 189 K (b) 2.7 kJ

**[jEE-Mains-2018]**
AIEEE 2012 and Mains 2013 asked the same question but mains 2013 only asked for Q2 (extracted heat). So will it not be 3rd option (11/2) ?

super

Please provide solutions

solutions should be provided

Faltu app hai saransh

waste app in the world because not giving complete answers

waste app in the world because not giving complete answers

nice one

its not sufficient

good

♥️de q’s

please provided solution

pls provide solutions

U GUYS PLEASE UPDATE

not good

Pls give solutions …

Post the questions completely with graphs & give the solutions for the questions.

There is no solutions for at least one question

G**du

Post the questions completely. And give a solution for that

Give the questions completely and keep solutions for those questions

It’s netter to give solutions for these questions

U r not responding

U have not given solutions for thermodynamics previous year questions. Please keep solutions for that