Work done during the given cycle is:
                               
1. 4P0V0

2. 2P0V0

3. 12P0V0

4. P0V0

Subtopic:  Work Done by a Gas |
 81%
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An ideal gas goes from \(A\) to \(B\) via two processes, \(\mathrm{I}\) and \(\mathrm{II},\) as shown. If \(\Delta U_1\) and \(\Delta U_2\) are the changes in internal energies in processes \(\mathrm{I}\) and \(\mathrm{II},\) respectively, (\(P:\) pressure, \(V:\) volume) then:

   

1. \(∆U_1 > ∆U_2\) 2. \(∆U_1 < ∆U_2\)
3. \(∆U_1 = ∆U_2\) 4. \(∆U_1 \leq ∆U_2\)
Subtopic:  Molar Specific Heat |
 89%
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The pressure-temperature \((P\text-T)\) graph for two processes, \(A\) and \(B,\) in a system is shown in the figure. If \(W_1\) and \(W_2\) are work done by the gas in process \(A\) and \(B\) respectively, then:

      

1. \(W_{1}=W_2\) 2. \(W_{1}<W_2\)
3. \(W_{1}>W_2\) 4. \(W_{1}= - W_2\)
Subtopic:  Work Done by a Gas |
 72%
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Heat is supplied to a diatomic gas in an isochoric process. The ratio \(\Delta Q:\Delta U\) is: (symbols have usual meanings)
1. \(5:3\)
2. \(5:2\)
3. \(1:1\)
4. \(5:7\)

Subtopic:  First Law of Thermodynamics |
 71%
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In the cyclic process shown in the pressure-volume \((P-V)\) diagram, the change in internal energy is equal to:

     

1. πP2-P122

2. πV2-V122

3. π4(P2-P1)(V2-V1)

4. zero

Subtopic:  Cyclic Process |
 75%
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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 |
 82%
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\(0.04\) mole of an ideal monatomic gas is allowed to expand adiabatically so that its temperature changes from \(800~\text{K}\) to \(500~\text{K}.\) The work done during expansion is nearly equal to:

            

1. \(129.6~\text J\) 2. \(-129.6~\text J\)
3. \(149.6~\text J\) 4. \(-149.6~\text J\)
Subtopic:  Work Done by a Gas |
 59%
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The efficiency of an ideal heat engine is less than \(100\%\) because of:

1.  the presence of friction.
2.  the leakage of heat energy.
3.  unavailability of the sink at zero kelvin.
4.  all of these.

Subtopic:  Carnot Engine |
 84%
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The first law of thermodynamics is based on:

1. the concept of temperature.
2. the concept of conservation of energy.
3. the concept of working of heat engine.
4. the concept of entropy.

Subtopic:  First Law of Thermodynamics |
 92%
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Find out the total heat given to diatomic gas in the process \(A\rightarrow B \rightarrow C\): \(( B\rightarrow C\) is isothermal)
                 
1. \(P_0V_0+ 2P_0V_0\ln 2\)
2. \(\frac{1}{2}P_0V_0+ 2P_0V_0\ln 2\)
3. \(\frac{5}{2}P_0V_0+ 2P_0V_0\ln 2\)
4. \(3P_0V_0+ 2P_0V_0\ln 2\)

Subtopic:  First Law of Thermodynamics |
 62%
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