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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. | \(2P_0\) |

Subtopic: Types of Processes |

85%

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A unit mass of a liquid with volume *V*_{1} is completely changed into a gas of volume *V*_{2} at a constant external pressure *P* and temperature *T*. If the latent heat of evaporation for the given mass is *L*, then the increase in the internal energy of the system is:** **

1. Zero

2. $P({V}_{2}-{V}_{1})$

3. $L-P({V}_{2}-{V}_{1})$

4. *L*

Subtopic: First Law of Thermodynamics |

62%

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An ideal heat engine working between temperatures *T*_{1} and *T*_{2} has an efficiency *η. T*he new efficiency if both the source and sink temperatures are doubled will be:

1. $\frac{\eta}{2}$

2. *η*

3. 2*η*

4. 3*η*

Subtopic: Carnot Engine |

88%

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A monoatomic ideal gas, initially at temperature \(T_1\), is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \(T_2\) by releasing the piston suddenly. If \(L_1\) and \(L_2\)_{ }are the lengths of the gas column before and after expansion, respectively, then \(\frac{T_1}{T_2}\) is given by:

1. \(\left(\frac{L_1}{L_2}\right)^{\frac{2}{3}}\)

2. \(\frac{L_1}{L_2}\)

3. \(\frac{L_2}{L_1}\)

4. \(\left(\frac{L_2}{L_1}\right)^{\frac{2}{3}}\)

Subtopic: Types of Processes |

70%

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An insulator container contains 4 moles of an ideal diatomic gas at a temperature T. If heat *Q* is supplied to this gas, due to which 2 moles of the gas are dissociated into atoms, but the temperature of the gas remains constant, then:

1. *Q* = 2*RT*

2. *Q* = *RT*

3. *Q* = 3*RT*

4. *Q* = 4*RT*

Subtopic: First Law of Thermodynamics |

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The volume of air (diatomic) increases by \(5\%\) in its adiabatical expansion. The percentage decrease in its pressure will be:

1. | \(5\%\) | 2. | \(6\%\) |

3. | \(7\%\) | 4. | \(8\%\) |

Subtopic: Types of Processes |

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Two Carnot engines A and B are operated in succession. The first one, A receives heat from a source at \(T_1=800\) K and rejects to sink at \(T_2\)_{ }K. The second engine, B, receives heat rejected by the first engine and rejects to another sink at \(T_3=300\) K. If the work outputs of the two engines are equal, then the value of \(T_2\) will be:

1. | 100 K | 2. | 300 K |

3. | 550 K | 4. | 700 K |

Subtopic: Carnot Engine |

73%

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The initial pressure and volume of a gas are \(P\) and *\(V\),* respectively. First, it is expanded isothermally to volume \(4V\) and then compressed adiabatically to volume *\(V\)*. The final pressure of the gas will be: [Given: \(\gamma = 1.5\)]

1. | \(P\) | 2. | \(2P\) |

3. | \(4P\) | 4. | \(8P\) |

Subtopic: Types of Processes |

74%

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A reversible engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by \(62^{\circ}\mathrm{C}\), the efficiency of the engine is doubled. The temperatures of the source and sink are:

1. \(80^{\circ}\mathrm{C}, 37^{\circ}\mathrm{C}\)

2. \(95^{\circ}\mathrm{C}, 28^{\circ}\mathrm{C}\)

3. \(90^{\circ}\mathrm{C}, 37^{\circ}\mathrm{C}\)

4. \(99^{\circ}\mathrm{C}, 37^{\circ}\mathrm{C}\)

Subtopic: Carnot Engine |

62%

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An ideal gas is taken from point *A* to point *B, *as shown in the *P-V* diagram. The work done in the process is:

** **

1. $({P}_{A}-{P}_{B})({V}_{B}-{V}_{A})$

2. $\frac{1}{2}({P}_{B}-{P}_{A})({V}_{B}+{V}_{A})$

3. $\frac{1}{2}({P}_{B}-{P}_{A})({V}_{B}-{V}_{A})$

4. $\frac{1}{2}({P}_{B}+{P}_{A})({V}_{B}-{V}_{A})$

Subtopic: Work Done by a Gas |

52%

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