A thermodynamic system is taken through the cycle \(abcda.\) The work done by the gas along the path \(bc\) is:
                     
1. \(30~\text J\)
2. \(-90~\text J\)
3. \(-60~\text J\)
4. zero
Subtopic:  Work Done by a Gas |
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For an adiabatic process, the factor which remains constant is: (all the notations have their usual meaning)
1. \(P^{\gamma-1} {~T}^\gamma \)
2. \(T V^{1-\gamma} \)
3. \(V^{\gamma-1} {~T}^ \gamma \)
4. \(P^{1-\gamma} ~{T}^\gamma\)
Subtopic:  Cyclic Process |
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For the given cycle, the work done during the isobaric process is:

            
1. \(200\) J
2. zero
3. \(400\) J
4. \(600\)
Subtopic:  Work Done by a Gas |
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An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric, and isochoric. The curve which represents the adiabatic process among \(1,\) \(2,\) \(3\) and \(4\) is: 
          
1. \(4\) 2. \(1\)
3. \(2\) 4. \(3\)
Subtopic:  Types of Processes |
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A gas undergoes an isothermal process. The specific heat capacity of the gas in the process is:

1. infinity 2. \(0.5\)
3. zero 4. \(1\)
Subtopic:  Molar Specific Heat |
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An ideal gas follows a process described by the equation \(PV^2=C\) from the initial \((P_1, V_1, T_1)\) to final \((P_2, V_2, T_2)\) thermodynamics states, where \(C\) is a constant. Then:
1. \(\text{If}~P_1>P_2~\text{then}~T_1<T_2\)
2. \(\text{If}~V_2>V_1~\text{then}~T_2>T_1\)
3. \(\text{If}~V_2>V_1~\text{then}~T_2<T_1\)
4. \(\text{If}~P_1>P_2~\text{then}~V_1>V_2\)
Subtopic:  Types of Processes |
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Two cylinders \(A\) and \(B\) of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. \(B\) is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. The process is: 
1. adiabatic 
2. isochoric 
3. isobaric 
4. isothermal 

Subtopic:  Types of Processes |
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The \((P\text{-}V)\) diagram for an ideal gas in a piston-cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is:

1. adiabatic  2. isochoric
3. isobaric  4. isothermal 
Subtopic:  Types of Processes |
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In which of the following processes, the heat is neither absorbed nor released by a system?
1. isochoric 2. isothermal
3. adiabatic 4. isobaric
Subtopic:  Types of Processes |
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\(1~\text g\) of water of volume \(1~\text{cm}^3\) at \(100^\circ \text{C}\) is converted into steam at the same temperature under normal atmospheric pressure \(\approx 1\times10^{5}~\text{Pa}.\) The volume of steam formed equals \(1671~\text{cm}^3.\) If the specific latent heat of vaporization of water is \(2256~\text{J/g},\) the change in internal energy is:
1. \(2423~\text J\) 
2. \(2089~\text J\) 
3. \(167~\text J\) 
4. \(2256~\text J\) 

Subtopic:  First Law of Thermodynamics |
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