# An ideal gas heat engine operates in a Carnot cycle between 227ºC and 127ºC. It absorbs 6 × 104 cals of heat at higher temperatures. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 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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