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If Δ*Q* and Δ*W* represent the heat supplied to the system and
the work done on the system, respectively, then the first law of thermodynamics can be written as: (where Δ*U* is the internal energy)

1. Δ*Q* = Δ*U* + Δ*W*

2. Δ*Q* = Δ*U* – Δ*W*

3. Δ*Q* = Δ*W* – Δ*U*

4. Δ*Q* = –Δ*U* – Δ*W*

Subtopic: First Law of Thermodynamics |

64%

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Can two isothermal curves cut each other?

1. | Never |

2. | Yes |

3. | They will cut when the temperature is 0°C. |

4. | Yes, when the pressure is equal to the critical pressure. |

Subtopic: Types of Processes |

76%

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The latent heat of vaporisation of water is \(2240~\text{J/gm}\)*.* If the work done in the process of expansion of \(1~\text{g}\) is \(168~\text{J}\),
then the increase in internal energy is:

1. \(2408~\text{J}\)

2. \(2240~\text{J}\)

3. \(2072~\text{J}\)

4. \(1904~\text{J}\)

Subtopic: First Law of Thermodynamics |

82%

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An ideal gas at \(27^{\circ}\mathrm{C}\) is compressed adiabatically to $\frac{8}{27}$ of its original volume. If $\gamma =\frac{5}{3}$, then the rise in temperature will be:

1. 450 *K*

2. 375 *K*

3. 225 *K*

4. 405 *K *

Subtopic: Types of Processes |

76%

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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 |

63%

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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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