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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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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A polyatomic gas \(\left(\gamma = \frac{4}{3}\right)\) is compressed to \(\frac{1}{8}\) of its volume adiabatically. If its initial pressure is \(P_0,\) its new pressure will be:

1. \(8P_0\) 2. \(16P_0\)
3. \(6P_0\) 4. \(2P_0\)
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Which of the following graph shows the variation of pressure P with volume V for an ideal gas at a constant temperature?

1. 2.
3. 4.
Subtopic:  Types of Processes |
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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. \(V_1\ge V_2\)

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Which of the following statement in the case of a thermodynamic process is not correct?
(The symbols carry their usual meaning)

1. \(\Delta E_{\text{int}}=W;\) indicates an adiabatic process
2. \(\Delta E_{\text{int}}=Q;\) suggests an isochoric process
3. \(\Delta E_{\text{int}}=0;\) is true for a cyclic process
4. \(\Delta E_{\text{int}}=-W;\) indicates an adiabatic processes

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An ideal gas at \(27^{\circ}\text{C}\) is compressed adiabatically to \(\frac{8}{27}\) of its original volume. If \(\gamma = \frac{5}{3},\) then the rise in temperature will be:
1. \(450~\text{K}\)
2. \(375~\text{K}\)
3. \(225~\text{K}\)
4. \(405~\text{K}\)

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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 |
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AIPMT - 2005
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Given below are two statements: 
Statement I: When \(\mu\) amount of an ideal gas undergoes adiabatic change from state \(\left({P}_1, {V}_1, {T}_1\right)\) to state \(\left({P}_2, {V}_2, {T}_2\right)\)the work done is, 
\({W}=\frac{\mu{R}\left({T}_2-{T}_1\right)}{1-\gamma}\), where \(\gamma=\frac{C_P}{C_V}\) and \(R=\) universal gas constant, 
Statement II: In the above case, when work is done on the gas, the temperature of the gas would rise.
 
1. Both Statement I and Statement II are correct.
2. Both Statement I and Statement II are incorrect.
3. Statement I is correct but statement II is incorrect.
4. Statement I is incorrect but statement II is correct.
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Can two isothermal curves cut each other?

1. Never
2. Yes
3. They will cut when the temperature is 0°C.
4. Yes, when the pressure is equal to the critical pressure.
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