An ideal gas heat engine operates in a Carnot cycle between 227ºC and 127ºC. It absorbs 6 × 104 cals of heat at higher temperatures. The amount of heat converted to work will be?
1. 4.8 × 104 cals
2. 2.4 × 104 cals
3. 1.2 × 104 cals
4. 6 × 104 cals

Subtopic:  Carnot Engine |
 73%
From NCERT
AIPMT - 2005
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When volume changes from \(V\) to \(2V\) at constant pressure(\(P\)), the change in internal energy will be:
1. \(PV\)
2. \(3PV\)
3. \(\frac{PV}{\gamma -1}\)
4. \(\frac{RV}{\gamma -1}\)

Subtopic:  Molar Specific Heat |
 70%
From NCERT
AIPMT - 1998
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If a gas changes volume from 2 litres to 10 litres at a constant temperature of 300K, then the change in its internal energy will be:

1. 12 J 2. 24 J
3. 36 J 4. 0 J
Subtopic:  Molar Specific Heat |
 85%
From NCERT
AIPMT - 1998
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We consider a thermodynamic system. If ∆U represents the increase in its internal energy and W the work done by the system, which of the following statements is true?

1.  \(\Delta \mathrm{U}=-\mathrm{W}\)  in an isothermal process
2. \(\Delta \mathrm{U}=\mathrm{W}\) in an isothermal process
3. \(\Delta \mathrm{U}=-\mathrm{W}\) in an adiabatic process
4. \(\Delta \mathrm{U}=\mathrm{W}\)  in an adiabatic process      
Subtopic:  First Law of Thermodynamics |
 83%
From NCERT
AIPMT - 1998
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The initial pressure and volume of a gas are P and V respectively. First, its volume is expanded to 4V by an isothermal process and then compressed adiabatically to volume V. The final pressure will be (γ = 1.5):

1. 8P 2. 4P
3. P 4. 2P
Subtopic:  Types of Processes |
 70%
From NCERT
AIPMT - 1999
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One mole of an ideal gas at an initial temperature of \(T\) K does \(6R\) joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is \(5/3\), the final temperature of the gas will be:
1. \((T-2.4)\) K
2. \((T+4)\) K
3. \((T-4)\) K
4. \((T+2.4)\) K

Subtopic:  First Law of Thermodynamics |
 55%
From NCERT
AIPMT - 2004
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Which one of the following processes is reversible?

1.  Transfer of heat by radiation
2. Transfer of heat by conduction
3. Isothermal compression
4. Electrical heating of a nichrome wire
Subtopic:  Types of Processes |
 76%
From NCERT
AIPMT - 2005
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A monoatomic gas at pressure P1 and volume V1 is compressed adiabatically to 1/8th its original volume. What is the final pressure of the gas?

1. P1

2. 16 P1

3. 32 P1

4. 64 P1

Subtopic:  Types of Processes |
 79%
From NCERT
AIPMT - 2010
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At a pressure of \(2\) atmospheres, a mass of diatomic gas \((\gamma = 1.4)\), is compressed adiabatically, causing its temperature to rise from \(27^{\circ}\mathrm{C}\) to \(927^{\circ}\mathrm{C}\). The pressure of the gas in the final state is:
1. 8 atm
2. 28 atm
3. 68.7 atm
4. 256 atm

Subtopic:  Types of Processes |
 62%
From NCERT
AIPMT - 2011
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An ideal gas goes from state \(A\) to state \(B\) via three different processes as indicated in the \((P\text-V)\) diagram.

  
If \(Q_1,Q_2,Q_3\) indicate the heat absorbed by the gas along the three processes and \(\Delta U_1, \Delta U_2, \Delta U_3\) indicate the change in internal energy along the three processes respectively, then:

1. \(Q_3>Q_2>Q_1\) and \(\Delta U_1= \Delta U_2= \Delta U_3\)
2. \(Q_1=Q_2=Q_3\) and \(\Delta U_1> \Delta U_2> \Delta U_3\)
3. \(Q_3>Q_2>Q_1\) and \(\Delta U_1> \Delta U_2> \Delta U_3\)
4. \(Q_1>Q_2>Q_3\) and \(\Delta U_1= \Delta U_2= \Delta U_3\)
Subtopic:  First Law of Thermodynamics |
 79%
From NCERT
AIPMT - 2012
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