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Q. No.

An ideal gas is compressed to half its initial volume using several processes. Which of the processes results in the maximum work done on the gas?
1. adiabatic
2. isobaric
3. isochoric
4. isothermal

Q1:
 71% From NCERT NEET - 2015
Subtopic:  Work Done by a Gas |
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The figure below shows two paths that may be taken by gas to go from state \(A\) to state \(C.\) 
               
In process \(AB,\) \(400~\text{J}\) of heat is added to the system, and in process \(BC,\)  \(100~\text{J}\) of heat is added to the system. The heat absorbed by the system in the process \(AC\) will be:
1. \(380~\text{J}\)
2. \(500~\text{J}\)
3. \(460~\text{J}\)
4. \(300~\text{J}\)

Q2:
 59% From NCERT NEET - 2015
Subtopic:  First Law of Thermodynamics |
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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. \(64P\) 2. \(32P\)
3. \(\frac{P}{64}\) 4. \(16P\)
Q3:
 75% From NCERT AIPMT - 2014
Subtopic:  Types of Processes |
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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

Q4:
 82% From NCERT AIPMT - 2014
Subtopic:  Cyclic Process |
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A gas is taken through the cycle \(A\rightarrow B\rightarrow C\rightarrow A,\) as shown in the figure. What is the total amount of work done by the gas?
               
1. \(1000~\text{J}\) 2. zero
3. \(-2000~\text{J}\) 4. \(2000~\text{J}\)
Q5:
 75% From NCERT AIPMT - 2013
Subtopic:  Work Done by a Gas |
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The molar specific heats of an ideal gas at constant pressure and volume are denoted by \(C_P\) and \(C_V,\) respectively. If \(\gamma =\frac{C_P}{C_V}\) and \(R\) is the universal gas constant, then \(C_V\) is equal to:
1. \(\dfrac{R}{\gamma -1}\) 2. \(\dfrac{\gamma -1}{R}\)
3. \(\gamma R \) 4. \(\dfrac{\left ( \gamma -1 \right )R}{\left ( \gamma +1 \right )}\)
Q6:
 89% From NCERT AIPMT - 2013
Subtopic:  Molar Specific Heat |
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During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of \(\frac{C_P}{C_V}\) for the gas is:
1. \(2\)
2. \(5/3\)
3. \(3/2\)
4. \(4/3\)
Q7:
 71% From NCERT AIPMT - 2013
Subtopic:  Types of Processes |
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A system is taken from state \(a\) to state \(c\) by two paths \(adc\) and \(abc\) as shown in the figure. The internal energy at \(a\) is \({U}_{a}=10~\text{J}.\) Along the path \(adc\) the amount of heat absorbed \(\delta Q_1=50~\text{J}\) and the work obtained \(\delta W_1=20~\text{J}\) whereas along the path \(abc\) the heat absorbed \(\delta Q_2 = 36~\text{J}.\) The amount of work along the path \(abc\) is: 
      
1. \(10~\text{J}\) 2. \(12~\text{J}\)
3. \(36~\text{J}\) 4. \(6~\text{J}\)
Q8:
 81% From NCERT NEET - 2013
Subtopic:  First Law of Thermodynamics |
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Which of the following relations does not give the equation of an adiabatic process, where terms have their usual meaning? 
1. \({P}^{1-\gamma}{T}^{\gamma}= \text{constant}\)
2. \({PV}^{\gamma}=\text{constant}\)
3. \({TV}^{\gamma-1}= \text{constant}\)
4. \({P}^{\gamma} {T}^{1-\gamma}=\text{constant}\)
Q9:
 77% From NCERT NEET - 2013
Subtopic:  Types of Processes |
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A thermodynamic system is taken through the cycle \(ABCD\) 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. \(PV\)

Q10:
 75% From NCERT AIPMT - 2012
Subtopic:  Cyclic Process |
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