In a cyclic process, the internal energy of the gas:

1. Increases 2. Decreases
3. Remains constant 4. Becomes zero

Subtopic:  Cyclic Process |
 54%
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In a Carnot engine, when \(T_2=0^\circ \mathrm{C}\) and \(T_1=200^\circ \mathrm{C},\) its efficiency is \(\eta_1\) and when \(T_1=0^\circ \mathrm{C}\) and \(T_2=-200^\circ \mathrm{C},\) its efficiency is \(\eta_2.\) What is the value of \(\frac{\eta_1}{\eta_2}?\)

1. 0.577 2. 0.733
3. 0.638 4. cannot be calculated
Subtopic:  Carnot Engine |
 73%
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When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is?

1. \(2 \over 5\) 2. \(3 \over 5\)
3. \(3 \over 7\) 4. \(5 \over 7\)
Subtopic:  Molar Specific Heat |
 70%
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A closed hollow insulated cylinder is filled with gas at \(0^{\circ}\mathrm{C}\) and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to \(100​​^{\circ}\mathrm{C}\). If the piston moves 5 cm, the length of the hollow cylinder will be:
1. 13.65 cm
2. 27.3 cm
3. 38.6 cm
4. 64.6 cm

Subtopic:  Types of Processes |
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A monoatomic gas is supplied with the heat \(Q\) very slowly, keeping the pressure constant. The work done by the gas will be: 
1. \({2 \over 3}Q\)
2. \({3 \over 5}Q\)
3. \({2 \over 5}Q\)
4. \({1 \over 5}Q\)

Subtopic:  Molar Specific Heat |
 61%
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The molar heat capacity in case of a diatomic gas if it does a work of Q4 when heat Q is supplied to it is:

1. 25R

2. 52R

3. 103R

4. 67R

Subtopic:  Molar Specific Heat |
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A cyclic process for 1 mole of an ideal gas is shown in the V-T diagram. The work done in AB, BC and CA respectively is:

  

1.  \(0, R T_2 \ln \left(\frac{V_1}{V_2}\right), R\left(T_1-T_2\right)\)  
2. \(R\left(T_1-T_2\right), 0, R T_1 \ln \frac{V_1}{V_2}\)
3. \(0, R T_2 \ln \left(\frac{V_2}{V_1}\right), R\left(T_1-T_2\right)\)
4. \(0, R T_2 \ln \left(\frac{V_2}{V_1}\right), R\left(T_2-T_1\right)\)
Subtopic:  Cyclic Process |
 55%
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The Carnot cycle (reversible) of gas is represented by a pressure-volume curve as shown. Consider the following statements:

I. Area ABCD = Work done on the gas
II. Area ABCD = Net heat absorbed
III. Change in the internal energy in cycle = 0

Which of the statement(s) given above is/are correct?

                               

1. I only 2. II only
3. II and III 4. I, II and III
Subtopic:  Cyclic Process |
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Which one of the following is correct for one complete cycle of a thermodynamic process on a gas as shown in the \((P-V)\) diagram?

      

1. \(\Delta E_{int}= 0, Q<0\) 2. \(\Delta E_{int}= 0, Q>0\)
3. \(\Delta E_{int}>0, Q<0\) 4. \(\Delta E_{int}< 0, Q>0\)
Subtopic:  Cyclic Process |
 67%
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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 |
 74%
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