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The value of ${C}_{P}-{C}_{v}=1.00$ $R$ for a gas in state A and ${C}_{P}-{C}_{v}=1.06$ $R$ in another state B. If ${P}_{A}$ $and$ ${P}_{B}$ denote the pressure and ${T}_{A}$ ${T}_{B}$ denote the temperatures in the two states, then:

1. | \(P_A=P_B ; T_A>T_B\) |

2. | \(P_A>P_B ; T_A=T_B\) |

3. | \(P_A<P_B ; T_A>T_B\) |

4. | \(P_A=P_B ; T_A<T_B\) |

Subtopic: Specific Heat |

51%

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During an experiment, an ideal gas is found to obey an additional law VP^{2} = constant. The gas is initially at temperature T and volume V. What will be the temperature of the gas when it expands to a volume 2V?

1. $\mathrm{T}\text{'}=\sqrt{4}\mathrm{T}$

2. $\mathrm{T}\text{'}=\sqrt{2}\mathrm{T}$

3. $\mathrm{T}\text{'}=\sqrt{5}\mathrm{T}$

4. $\mathrm{T}\text{'}=\sqrt{6}\mathrm{T}$

Subtopic: Ideal Gas Equation |

81%

From NCERT

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We have two vessels of equal volume, one filled with hydrogen and the other with equal mass of helium. The common temperature is \(27^{\circ}\mathrm{C}\) . What is the relative number of molecules in the two vessels?

1. \(\frac{n_H}{n_{He}} = \frac{1}{1}\)

2. \(\frac{n_H}{n_{He}} = \frac{5}{1}\)

3. \(\frac{n_H}{n_{He}} = \frac{2}{1}\)

4. \(\frac{n_H}{n_{He}} = \frac{3}{1}\)

Subtopic: Ideal Gas Equation |

65%

From NCERT

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The volume \(V\) versus temperature \(T\) graph for a certain amount of a perfect gas at two pressures \(\mathrm{P}_1\) and $$

\(\mathrm{P}_2\) are shown in the figure. Here:

1. | _{\(\mathrm{P}_1<\mathrm{P}_2\)} |

2. | _{\(\mathrm{P}_1>\mathrm{P}_2\)} |

3. | _{\(\mathrm{P}_1=\mathrm{P}_2\)} |

4. | Pressures can’t be related |

Subtopic: Ideal Gas Equation |

83%

From NCERT

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At a pressure of 24 × 10^{5} dyne/cm^{2}, the volume of O_{2} is 10 litre and mass is 20g. The rms velocity will be:

1. | 800 m/s | 2. | 400 m/s |

3. | 600 m/s | 4. | Data is incomplete |

Subtopic: Types of Velocities |

76%

From NCERT

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At \(10^{\circ}\mathrm{C}\) the value of the density of a fixed mass of an ideal gas divided by its pressure is \(x\). At \(110^{\circ}\mathrm{C}\) this ratio is:

1. | \(x\) | 2. | \(\dfrac{383}{283}x\) |

3. | \(\dfrac{10}{110}x\) | 4. | \(\dfrac{283}{383}x\) |

Subtopic: Ideal Gas Equation |

69%

From NCERT

AIPMT - 2008

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The amount of heat energy required to raise the temperature of \(1\) g of Helium at NTP, from \({T_1}\)_{ }K to \({T_2}\)_{ }K is:

1. \(\frac{3}{2}N_ak_B(T_2-T_1)\)

2. \(\frac{3}{4}N_ak_B(T_2-T_1)\)

3. \(\frac{3}{4}N_ak_B\frac{T_2}{T_1}\)

4. \(\frac{3}{8}N_ak_B(T_2-T_1)\)

Subtopic: Specific Heat |

51%

From NCERT

AIPMT - 2013

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One mole of an ideal diatomic gas undergoes a transition from \(A\) to \(B\) along a path \(AB\) as shown in the figure.

The change in internal energy of the gas during the transition is:

1. | \(20\) kJ | 2. | \(-20\) kJ |

3. | \(20\) J | 4. | \(-12\) kJ |

Subtopic: Law of Equipartition of Energy |

68%

From NCERT

NEET - 2015

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Two vessels separately contain two ideal gases \(\mathrm{A}\) and \(\mathrm{B}\) at the same temperature, the pressure of \(\mathrm{A}\) being twice that of \(\mathrm{B}\). Under such conditions, the density of \(\mathrm{A}\) is found to be \(1.5\) times the density of \(\mathrm{B}\). The ratio of molecular weight of \(\mathrm{A}\) and \(\mathrm{B}\) is:

1. | \(\frac{2}{3}\) | 2. | \(\frac{3}{4}\) |

3. | \(2\) | 4. | \(\frac{1}{2}\) |

Subtopic: Ideal Gas Equation |

86%

From NCERT

NEET - 2015

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At what temperature will the \(\text{rms}\) speed of oxygen molecules become just sufficient for escaping from the earth's atmosphere?

(Given: Mass of oxygen molecule \((m)= 2.76\times 10^{-26}~\text{kg}\), Boltzmann's constant \(k_B= 1.38\times10^{-23}~\text{J K}^{-1}\))

1. \(2.508\times 10^{4}~\text{K}\)

2. \(8.360\times 10^{4}~\text{K}\)

3. \(5.016\times 10^{4}~\text{K}\)

4. \(1.254\times 10^{4}~\text{K}\)

Subtopic: Types of Velocities |

64%

From NCERT

NEET - 2018

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