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The equation of state for 5g of oxygen at a pressure P and temperature T, when occupying a volume V, will be: (where R is the gas constant)

1. PV = 5 RT

2. PV = (5/2) RT

3. PV = (5/16) RT

4. PV = (5/32) RT

Subtopic: Ideal Gas Equation |

83%

From NCERT

AIPMT - 2004

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Uranium has two isotopes of masses 235 and 238 units. If both are present in Uranium hexafluoride gas, which would have the larger average speed?

1. | \({ }_{235} \mathrm{UF}_6\) | 2. | \({ }_{238} \mathrm{UF}_6\) |

3. | Both will have the same average speed. | 4. | Data insufficient |

Subtopic: Types of Velocities |

74%

From NCERT

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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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To find out the degree of freedom, the correct expression is:

1. $f=\frac{2}{\gamma -1}$

2. $f=\frac{\gamma +1}{2}$

3. $f=\frac{2}{\gamma +1}$

4. $f=\frac{1}{\gamma +1}$

Subtopic: Law of Equipartition of Energy |

82%

From NCERT

AIPMT - 2000

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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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An increase in the temperature of a gas-filled in a container would lead to:

1. | decrease in the intermolecular distance. |

2. | increase in its mass. |

3. | increase in its kinetic energy. |

4. | decrease in its pressure. |

Subtopic: Kinetic Energy of an Ideal Gas |

91%

From NCERT

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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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The mean free path *\(l\)* for a gas molecule depends upon the diameter, \(d\) of the molecule as:

1. \(l\propto \frac{1}{d^2}\)

2. \(l\propto d\)

3. \(l\propto d^2 \)

4. \(l\propto \frac{1}{d}\)

Subtopic: Mean Free Path |

84%

From NCERT

NEET - 2020

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Diatomic molecules like hydrogen have energies due to both translational as well as rotational motion. From the equation in kinetic theory, \(PV = \frac{2}{3}E\)$,$ \(E\) is:

1. | the total energy per unit volume. |

2. | only the translational part of energy because rotational energy is very small compared to translational energy. |

3. | only the translational part of the energy because during collisions with the wall, pressure relates to change in linear momentum. |

4. | the translational part of the energy because rotational energies of molecules can be of either sign and its average over all the molecules is zero. |

Subtopic: Kinetic Energy of an Ideal Gas |

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1 mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at 300 K (figure). One face of the cube (EFGH) is made up of a material which totally absorbs any gas molecule incident on it. At any given time:

1. | the pressure on EFGH would be zero. |

2. | the pressure on all the faces will be equal. |

3. | the pressure on EFGH would be double the pressure on ABCD. |

4. | the pressure on EFGH would be half that on ABCD. |

Subtopic: Kinetic Energy of an Ideal Gas |

From NCERT

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