When \(1\) kg of ice at \(0^{\circ}\) C melts into the water at \(0^{\circ}\) C, the resulting change in its entropy, taking the latent heat of ice to be \(80\) cal/gm, is:
1. \(8\times 10^4\) cal/K
2. \(80\) cal/K
3. \(293\) cal/K
4. \(273\) cal/K

Subtopic:  Second Law of Thermodynamics |
 57%
From NCERT
AIPMT - 2011
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During an isothermal expansion, a confined ideal gas does -150 J of work against its surrounding. This implies that:

1. 300 J of heat has been added to the gas.
2. no heat is transferred because the process is isothermal.
3. 150 J of heat has been added to the gas.
4. 150 J of heat has been removed from the gas.

Subtopic:  First Law of Thermodynamics |
 66%
From NCERT
AIPMT - 2011
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If \(\Delta U\) and \(\Delta W\) represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?

1. \(\Delta U=-\Delta W\), in an adiabatic process
2. \(\Delta U=\Delta W\) , in an isothermal process
3. \(\Delta U=\Delta W\),  in an adiabatic process
4.  \(\Delta U=-\Delta W\), in an isothermal process
Subtopic:  First Law of Thermodynamics |
 81%
From NCERT
AIPMT - 2010
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The internal energy change in a system that has absorbed \(2\) kcal of heat and done \(500\) J of work is:
1. \(8900\) J
2. \(6400\) J
3. \(5400\) J
4. \(7900\) J

Subtopic:  First Law of Thermodynamics |
 77%
From NCERT
AIPMT - 2009
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In thermodynamic processes which of the following statements is not true?

1. In an adiabatic process, the system is insulated from
the surroundings.
2. In an isochoric process, pressure remains constant.
3. In an isothermal process, the temperature remains
constant.
4. In an adiabatic process \(PV^\gamma=\mathrm{constant}.\)

Subtopic:  Types of Processes |
 91%
From NCERT
AIPMT - 2009
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If \(Q\), \(E\), and \(W\) denote respectively the heat added, the change in internal energy, and the work done in a closed cycle process, then:
1. \(W=0\)
2. \(Q=W=0\)
3. \(E=0\)
4. \(Q=0\)

Subtopic:  Cyclic Process |
 77%
From NCERT
AIPMT - 2008
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A Carnot engine whose sink is at \(300~\mathrm{K}\) has an efficiency of \(40\)%. By how much should the temperature of the source be increased to increase its efficiency by \(50\)% of its original efficiency?

1. \(275~\mathrm{K}\) 2. \(325~\mathrm{K}\)
3. \(250~\mathrm{K}\) 4. \(380~\mathrm{K}\)
Subtopic:  Carnot Engine |
 64%
From NCERT
AIPMT - 2006
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The molar specific heat at a constant pressure of an ideal gas is \(\dfrac{7}{2}R.\) The ratio of specific heat at constant pressure to that at constant volume is:

1. \(\dfrac{7}{5}\) 2. \(\dfrac{8}{7}\)
3. \(\dfrac{5}{7}\) 4. \(\dfrac{9}{7}\)
Subtopic:  Molar Specific Heat |
 77%
From NCERT
AIPMT - 2006
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One mole of an ideal gas goes from an initial state \(A\) to the final state \(B\) with two processes. It first undergoes isothermal expansion from volume \(V\) to \(3V\) and then its volume is reduced from \(3V\) to \(V\) at constant pressure. The correct \((P-V)\) diagram representing the two processes is:

1. 2.
3. 4.

Subtopic:  Types of Processes |
 81%
From NCERT
AIPMT - 2012
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A thermodynamic system is taken through the cycle \(\mathrm{ABCD}\) as shown in the figure. Heat rejected by the gas during the cycle is: 
     

1. \(2 {PV}\)
2. \(4{PV}\)
3. \(\frac{1}{2}{PV}\)
4. \(PV\)

Subtopic:  Cyclic Process |
 74%
From NCERT
AIPMT - 2012
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