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Which of the following diagrams (figure) depicts ideal gas behaviour?

1. (a), (c)

2. (a), (d)

3. (c), (d)

4. (a), (b)

Subtopic: Ideal Gas Equation |

67%

From NCERT

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A cubic vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of $500{\mathrm{ms}}^{-1}$ in the vertical direction. The pressure of the gas inside the vessel as observed by us on the ground:

1. | remains the same because \(500\) \(\mathrm{ms^{-1}}\) is very much smaller than \(v_{rms}\) of the gas. |

2. | remains the same because the motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls. |

3. | will increase by a factor equal to \(\Big(\frac{v_{rms}^2+(500)^2}{v_{rms}^2}\Big)\)where \(v_{rms}^2\) was the original mean square velocity of the gas. |

4. | will be different on the top wall and bottom wall of the vessel. |

Subtopic: Kinetic Energy of an Ideal Gas |

66%

From NCERT

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An ideal gas equation can be written as $\mathrm{P}=\frac{\mathrm{\rho RT}}{{\mathrm{M}}_{0}}$ where $\mathrm{\rho}$ and ${\mathrm{M}}_{0}$ are respectively:

1. | mass density, the mass of the gas |

2. | number density, molar mass |

3. | mass density, molar mass |

4. | number density, the mass of the gas |

Subtopic: Ideal Gas Equation |

78%

From NCERT

NEET - 2020

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If \(C_p\) and \(C_v\) denote the specific heats (per unit mass) of an ideal gas of molecular weight \(M\) (where \(R\) is the molar gas constant), the correct relation is:

1. \(C_p-C_v=R\)

2. \(C_p-C_v=\frac{R}{M}\)

3. \(C_p-C_v=MR\)

4. \(C_p-C_v=\frac{R}{M^2}\)

Subtopic: Specific Heat |

64%

From NCERT

AIPMT - 2010

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A cylinder of fixed capacity \(44.8\) litres contains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by \(15.0^\circ~\mathrm{C}?\) (\(R=8.31\) J mol^{–1} K^{–1})

1. | \(379\) J | 2. | \(357\) J |

3. | \(457\) J | 4. | \(374\) J |

Subtopic: Specific Heat |

51%

From NCERT

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Match **Column - I** and **Column - I**I and choose the correct match from the given choices.

Column - I |
Column - II |
||

(A) | root mean square speed of gas molecules | (P) | \(\frac13nm\bar v^2\) |

(B) | the pressure exerted by an ideal gas | (Q) | \( \sqrt{\frac{3 R T}{M}} \) |

(C) | the average kinetic energy of a molecule | (R) | \( \frac{5}{2} R T \) |

(D) | the total internal energy of 1 mole of a diatomic gas | (S) | \(\frac32k_BT\) |

(A) | (B) | (C) | (D) | |

1. | (Q) | (P) | (S) | (R) |

2. | (R) | (Q) | (P) | (S) |

3. | (R) | (P) | (S) | (Q) |

4. | (Q) | (R) | (S) | (P) |

Subtopic: Kinetic Energy of an Ideal Gas |

76%

From NCERT

NEET - 2021

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A cylinder contains hydrogen gas at a pressure of \(249~\text{kPa}\) and temperature \(27^\circ~\mathrm{C}.\) Its density is: (\(R=8.3~\text{J mol}^{-1} \text {K}^{-1}\))

1. \(0.2~\text{kg/m}^{3}\)

2. \(0.1~\text{kg/m}^{3}\)

3. \(0.02~\text{kg/m}^{3}\)

4. \(0.5~\text{kg/m}^{3}\)

Subtopic: Ideal Gas Equation |

61%

From NCERT

NEET - 2020

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The mean free path for a gas, with molecular diameter \(d\) and number density \(n,\) can be expressed as:

1. \( \frac{1}{\sqrt{2} n \pi \mathrm{d}^2} \)

2. \( \frac{1}{\sqrt{2} n^2 \pi \mathrm{d}^2} \)

3. \(\frac{1}{\sqrt{2} n^2 \pi^2 d^2} \)

4. \( \frac{1}{\sqrt{2} n \pi \mathrm{d}}\)

Subtopic: Mean Free Path |

81%

From NCERT

NEET - 2020

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Which of the following parameters is the same for molecules of all gases at a given temperature?

1. | mass | 2. | speed |

3. | momentum | 4. | kinetic energy |

Subtopic: Kinetic Energy of an Ideal Gas |

70%

From NCERT

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Suppose a container is evacuated to leave just one molecule of a gas in it. Let \(v_a\) and \(v_{rms}\) represent the average speed and the rms speed of the gas.

1. | \(v_a>v_{rms}\) |

2. | \(v_a<v_{rms}\) |

3. | \(v_a=v_{rms}\) |

4. | \(v_{rms}\) is undefined |

Subtopic: Types of Velocities |

From NCERT

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