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, the pressure remains constant.
3. In an isothermal process, the temperature remains constant.
4. In an adiabatic process, \(P V^\gamma\) = constant.

Subtopic:  Types of Processes |
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NEET - 2009

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Thermodynamic processes are indicated in the following diagram.
            
Match the following:
      Column I      Column II
\(P\).   Process-I        \(\mathrm{a}\).    Adiabatic      
\(Q\). Process-II  \(\mathrm{b}\). Isobaric
\(R\). Process-III  \(\mathrm{c}\). Isochoric
\(S\). Process-IV \(\mathrm{d}\)  Isothermal
1. \(P \rightarrow \mathrm{a}, Q \rightarrow \mathrm{c}, R \rightarrow \mathrm{d}, S \rightarrow \mathrm{b}\)
2. \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{a}, R \rightarrow \mathrm{d}, S \rightarrow b\)
3. \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow \mathrm{a}\)
4. \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow \mathrm{a}\)
Subtopic:  Types of Processes |
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NEET - 2017

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If an ideal gas undergoes two processes at constant volumes \(V_1~\text{and}~V_2\) as shown in the pressure-temperature \((P\text-T)\) diagram, then:

             
1. \(V_1= V_2\)
2. \(V_1> V_2\)
3. \(V_1< V_2\)
4. \(V_1\ge V_2\)

Subtopic:  Types of Processes |
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The initial pressure and volume of a gas are \(P\) and \(V\), respectively. First, it is expanded isothermally to volume \(4V\) and then compressed adiabatically to volume \(V\). The final pressure of the gas will be: [Given: \(\gamma = 1.5\)]

1. \(P\) 2. \(2P\)
3. \(4P\) 4. \(8P\)
Subtopic:  Types of Processes |
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In the following figures, four curves A, B, C and D, are shown. The curves are:

        

1. isothermal for A and D while adiabatic for B and C.
2. adiabatic for A and C while isothermal for B and D.
3. isothermal for A and B while adiabatic for C and D.
4. isothermal for A and C while adiabatic for B and D.
Subtopic:  Types of Processes |
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A monoatomic ideal gas, initially at temperature \(T_1\), is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \(T_2\) by releasing the piston suddenly. If \(L_1\) and \(L_2\) are the lengths of the gas column before and after expansion, respectively, then \(\frac{T_1}{T_2}\) is given by:
1. \(\left(\frac{L_1}{L_2}\right)^{\frac{2}{3}}\)
2. \(\frac{L_1}{L_2}\)
3. \(\frac{L_2}{L_1}\)
4. \(\left(\frac{L_2}{L_1}\right)^{\frac{2}{3}}\)

Subtopic:  Types of Processes |
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The pressure and volume of a gas are changed as shown in the P-V diagram. The temperature of the gas will:

    

1.  increase as it goes from A to B.
2. increase as it goes from B to C.
3. remain constant during these changes.
4. decrease as it goes from D to A.

Subtopic:  Types of Processes |
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The figure shows the \((P\text-V)\) diagram of an ideal gas undergoing a change of state from \(A\) to \(B.\) Four different paths \(\mathrm{I, II, III}\) and \(\mathrm{IV},\) as shown in the figure, may lead to the same change of state.
                  

(a) The change in internal energy is the same in cases \(\mathrm{IV}\) and \(\mathrm{III}\) but not in cases \(\mathrm{I}\) and \(\mathrm{II}.\)
(b) The change in internal energy is the same in all four cases.
(c) The work done is maximum in case \(\mathrm{I}.\)
(d) The work done is minimum in case \(\mathrm{II}.\)

 Which of the following options contains only correct statements?

1. (b), (c), (d) 2. (a), (d)
3. (b), (c) 4. (a), (c), (d)
Subtopic:  Work Done by a Gas |
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Work done during the given cycle is:
                               
1. 4P0V0

2. 2P0V0

3. 12P0V0

4. P0V0

Subtopic:  Work Done by a Gas |
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A given mass of gas expands from state \(A\) to state \(B\) by three paths \(1, 2~\text{and}~3\), as shown in the figure. If \(W_1, W_2~\text{and}~W_3\) respectively be the work done by the gas along the three paths, then:

      

1. \(W_1 >W_2>W_3\) 2. \(W_1<W_2<W_3\)
3. \(W_1 =W_2=W_3\) 4. \(W_1 <W_2=W_3\)
Subtopic:  Work Done by a Gas |
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