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A cyclic process for \(1\) mole of an ideal gas is shown in the \(V\text-T\) 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 |

56%

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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 |

68%

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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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The molar heat capacity in case of a diatomic gas if it does a work of $\frac{Q}{4}$ when heat *Q* is supplied to it is:

1. $\frac{2}{5}R$

2. $\frac{5}{2}R$

3. $\frac{10}{3}R$

4. $\frac{6}{7}R$

Subtopic: Molar Specific Heat |

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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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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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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 |

71%

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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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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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