A monoatomic gas at a pressure \(P\), having a volume \(V\), expands isothermally to a volume \(2V\) and then adiabatically to a volume \(16V\). The final pressure of the gas is: \(\left(\text{Take:}~ \gamma = \frac{5}{3} \right)\)

1. \(64 ~P\) 2. \(32~P\)
3. \(\frac{P}{64}\) 4. \(16~P\)

Subtopic:  Types of Processes |
 74%
From NCERT
AIPMT - 2014
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A thermodynamic system undergoes a cyclic process \(ABCDA\) as shown in Fig. The work done by the system in the cycle is: 
             
1. \( P_0 V_0 \)
2. \( 2 P_0 V_0 \)
3. \( \frac{P_0 V_0}{2} \)
4. zero

Subtopic:  Cyclic Process |
 81%
From NCERT
AIPMT - 2014
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A gas is taken through the cycle \(A\rightarrow B\rightarrow C\rightarrow A\), as shown. What is the total amount of work done by the gas?
               
1. \(1000~\text{J}\) 2. zero
3. \(-2000~\text{J}\) 4. \(2000~\text{J}\)
Subtopic:  Work Done by a Gas |
 74%
From NCERT
AIPMT - 2013
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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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One mole of an ideal gas expands at a constant temperature of 300 K from an initial volume of 10 litres to a final volume of 20 litres. The work done in expanding the gas is equal to:
(R = 8.31 J/mole-K)

1. 750 joules

2. 1728 joules

3. 1500 joules

4. 3456 joules

Subtopic:  Work Done by a Gas |
 73%
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The pressure of a monoatomic gas increases linearly from 4×105 N/m2 to 8×105 N/m2 when its volume increases from 0.2 m3 to 0.5 m3. The work done by the gas is:

1. 2.8×105 J

2. 1.8×106 J

3. 1.8×105 J

4. 1.8×102 J

Subtopic:  Work Done by a Gas |
 63%
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The efficiency of an ideal heat engine (Carnot heat engine) working between the freezing point and boiling point of water is:
1. \(26.8\%\)
2. \(20\%\)
3. \(6.25\%\)
4. \(12.5\%\)

Subtopic:  Carnot Engine |
 77%
From NCERT
NEET - 2018
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The volume (\(V\)) of a monatomic gas varies with its temperature (\(T\)), as shown in the graph. The ratio of work done by the gas to the heat absorbed by it when it undergoes a change from state \(\mathrm{A}\) to state \(\mathrm{B}\) will be:
           

1. \(2 \over 5\) 2. \(2 \over 3\)
3. \(1 \over 3\) 4. \(2 \over 7\)
Subtopic:  Molar Specific Heat |
 65%
From NCERT
NEET - 2018
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A sample of \(0.1\) g of water at \(100^{\circ}\mathrm{C}\) and normal pressure (\(1.013 \times10^5\) N m–2) requires \(54\) cal of heat energy to convert it into steam at \(100^{\circ}\mathrm{C}\). If the volume of the steam produced is \(167.1\) cc, then the change in internal energy of the sample will be:
1. \(104.3\) J
2. \(208.7\) J
3. \(42.2\) J
4. \(84.5\) J

Subtopic:  First Law of Thermodynamics |
 68%
From NCERT
NEET - 2018
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A horizontal cylinder has two sections of unequal cross-sections in which two pistons, A and B, can move freely. The pistons are joined by a string. Some gas is trapped between the pistons. If this gas is heated, the pistons will:  
         

1. move to the left.
2. move to the right.
3. remain stationary.
4. move either to the left or to the right depending on the initial pressure of the gas.

Subtopic:  First Law of Thermodynamics |
 52%
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