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: Â Kinetic Energy of an Ideal Gas |

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If the pressure of a gas is doubled, then the average kinetic energy per unit volume of the gas will be:

1. | half of its initial value. | 2. | double its initial value. |

3. | one-fourth of its initial value. | 4. | four times its initial value. |

Subtopic: Â Kinetic Energy of an Ideal Gas |

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The ratio of the average translatory kinetic energy of He gas molecules to ${\mathrm{O}}_{2}$ gas molecules is:

1. $\frac{25}{21}$

2. $\frac{21}{25}$

3. $\frac{3}{2}$

4. 1

Subtopic: Â Kinetic Energy of an Ideal Gas |

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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: Â Kinetic Energy of an Ideal Gas |

Â 76%

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A gas at pressure ${\mathrm{P}}_{0}$ is contained in a vessel. If the masses of all the molecules are halved and their speeds doubled, the resulting pressure would be:

1. $4{\mathrm{P}}_{0}$

2. $2{\mathrm{P}}_{0}$

3. ${\mathrm{P}}_{0}$

4. $\frac{{\mathrm{P}}_{0}}{2}$

Subtopic: Â Kinetic Energy of an Ideal Gas |

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The translational kinetic energy of *n *moles of a diatomic gas at absolute temperature *T *is given by:

1. $\frac{5}{2}nRT$

2. $\frac{3}{2}nRT$

3. $\mathit{5}nRT$

4. $\frac{7}{2}nRT$

Subtopic: Â Kinetic Energy of an Ideal Gas |

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The translatory kinetic energy of a gas per \(\text{g}\) is:

1. | \({3 \over 2}{RT \over N}\) | 2. | \({3 \over 2}{RT \over M}\) |

3. | \({3 \over 2}RT \) | 4. | \({3 \over 2}NKT\) |

Subtopic: Â Kinetic Energy of an Ideal Gas |

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Given below are two statements:

Assertion (A): |
If a gas container in motion is suddenly stopped, the temperature of the gas rises. |

Reason (R): |
The kinetic energy of ordered mechanical motion is converted into the kinetic energy of random motion of gas molecules. |

1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |

2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |

3. | (A) is true but (R) is false. |

4. | Both (A) and (R) are false. |

Subtopic: Â Kinetic Energy of an Ideal Gas |

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If at a pressure of \(10^6\) dyne/cm^{2}, one gram of nitrogen occupies \(2\times10^4\)^{ }c.c. volume, then the average energy of a nitrogen molecule in erg is:

1. | \(14\times10^{-13}\) | 2. | \(10\times10^{-12}\) |

3. | \(10^{6}\) | 4. | \(2\times10^{6}\) |

Subtopic: Â Kinetic Energy of an Ideal Gas |

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Heat is associated with:

1. | kinetic energy of random motion of molecules. |

2. | kinetic energy of orderly motion of molecules. |

3. | total kinetic energy of random and orderly motion of molecules. |

4. | kinetic energy of random motion in some cases and kinetic energy of orderly motion in other cases. |

Subtopic: Â Kinetic Energy of an Ideal Gas |

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