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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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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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The ratio of the specific heats \(\frac{{C}_{{P}}}{{C}_{{V}}}=\gamma\) in terms of degrees of freedom(\(n\)) is given by:

1. | \(\left(1+\frac{1}{n}\right )\) | 2. | \(\left(1+\frac{n}{3}\right)\) |

3. | \(\left(1+\frac{2}{n}\right)\) | 4. | \(\left(1+\frac{n}{2}\right)\) |

Subtopic: Specific Heat |

77%

From NCERT

NEET - 2015

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The mean free path of molecules of a gas (radius \(r\)) is inversely proportional to:

1. \(r^3\)

2. \(r^2\)

3. \(r\)

4. \(\sqrt{r}\)

Subtopic: Mean Free Path |

84%

From NCERT

AIPMT - 2014

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In the given \({(V\text{-}T)}\) diagram, what is the relation between pressure \({P_1}\) and \({P_2}\)?

1. | \(P_2>P_1\) | 2. | \(P_2<P_1\) |

3. | cannot be predicted | 4. | \(P_2=P_1\) |

Subtopic: Ideal Gas Equation |

83%

From NCERT

AIPMT - 2013

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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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In a vessel, the gas is at a pressure \(P\). If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will be:

1. \(2 P\)

2. \(P\)

3. \(\frac{P}{2}\)

4. \(4 P\)

1. \(2 P\)

2. \(P\)

3. \(\frac{P}{2}\)

4. \(4 P\)

Subtopic: Kinetic Energy of an Ideal Gas |

64%

From NCERT

NEET - 2013

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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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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. \(\frac{383}{283}x\)

3. \(\frac{10}{110}x\)

4. \(\frac{283}{383}x\)

Subtopic: Ideal Gas Equation |

69%

From NCERT

AIPMT - 2008

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