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Q. No.Given below are two statements:
Assertion (A):
The molar heat capacity of the gas can have any value from \(-\infty\) to \(\infty\).
Reason (R):
The molar heat capacity of the gas for the isothermal process is \(\infty\).
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: Specific Heat |
64%
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A gas has \(n\) degrees of freedom. The ratio of the specific heat of the gas at constant volume to the specific heat of the gas at constant pressure will be:
| 1. | \({\dfrac{n} {n+2}}\) | 2. | \({\dfrac{n+2} {n}}\) |
| 3. | \({\dfrac{n} {2n+2}}\) | 4. | \({\dfrac{n} {n-2}}\) |
Subtopic: Specific Heat |
71%
From NCERT
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A vessel contains \(16\) g of hydrogen and \(128\) g of oxygen at standard temperature and pressure. The volume of the vessel in cm3 is:
1. \(72\times10^{5}\)
2. \(32\times10^{5}\)
3. \(27\times10^{4}\)
4. \(54\times10^{4}\)
1. \(72\times10^{5}\)
2. \(32\times10^{5}\)
3. \(27\times10^{4}\)
4. \(54\times10^{4}\)
Subtopic: Ideal Gas Equation |
75%
From NCERT
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The Earth’s atmosphere contains oxygen and nitrogen. The mass of an oxygen molecule is greater than the mass of a nitrogen molecule. The temperature of the air in a room on a particular day is \(300~\text{K}.\) Below are four statements about the motion of the two types of molecules in this room.
Which of the statements is/are correct?
| A. | They have an equal mean square velocity \((\overline{v^2}).\) |
| B. | A nitrogen molecule has a greater mean square velocity \((\overline{v^2})\) than an oxygen molecule. |
| C. | A nitrogen molecule has a greater mean kinetic energy than an oxygen molecule. |
| D. | An oxygen molecule has a greater mean kinetic energy than a nitrogen molecule. |
Which of the statements is/are correct?
| 1. | Statement A only |
| 2. | Statement A and C only |
| 3. | Statement B and D only |
| 4. | Statement B only |
Subtopic: Types of Velocities |
72%
From NCERT
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One mole of a monoatomic gas is mixed with three moles of a diatomic gas. If the molecular specific heat of the mixture at constant volume is \(\dfrac{\alpha^2}{4} {R}~ \text{J} / \text{mol-K},\) then the value of \(\alpha\) will be:
(assume that the given diatomic gas has no vibrational mode)
(assume that the given diatomic gas has no vibrational mode)
| 1. | \(5\) | 2. | \(4\) |
| 3. | \(3\) | 4. | \(2\) |
Subtopic: Specific Heat |
74%
From NCERT
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The ratio of specific heats \(\left (\dfrac{C_p}{C_v}\right)\) in terms of degree of freedom \((f)\) is given by:
| 1. | \(\left(1+\dfrac{f}{3}\right) \) | 2. | \(\left(1+\dfrac{2}{f}\right)\) |
| 3. | \(\left(1+\dfrac{f}{2}\right) \) | 4. | \(\left(1+\dfrac{1}{f}\right)\) |
Subtopic: Law of Equipartition of Energy |
88%
From NCERT
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A flask contains argon and oxygen in the ratio of \(3:2\) in mass and the mixture is kept at \(27^\circ\mathrm{C}\). The ratio of their average kinetic energy per molecule respectively will be:
1. \(3:2\)
2. \(9:4\)
3. \(2:3\)
4. \(1:1\)
1. \(3:2\)
2. \(9:4\)
3. \(2:3\)
4. \(1:1\)
Subtopic: Kinetic Energy of an Ideal Gas |
73%
From NCERT
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Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic), the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct statement, among the following, is:
| 1. | All vessels contain an unequal number of respective molecules. |
| 2. | The root mean square speed of molecules is the same in all three cases. |
| 3. | The root mean square speed of helium is the largest. |
| 4. | The root mean square speed of sulfur hexafluoride is the largest. |
Subtopic: Types of Velocities |
74%
From NCERT
NEET - 2022
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The molar-specific heat capacity at constant volume for a rigid diatomic molecule is:
(\(R\) is the universal gas constant)
(\(R\) is the universal gas constant)
| 1. | \({\dfrac 9 7}R\) | 2. | \({\dfrac7 2}R\) |
| 3. | \({\dfrac 5 2}R\) | 4. | \({\dfrac 3 2}R\) |
Subtopic: Specific Heat |
81%
From NCERT
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The energy of a gas molecule in a gas at a given temperature \(T~(\text{K})\) is calculated based on the kinetic theory of gases. Match Column-I with Column-II.
| Column-I | Column-II | ||
| (A) | mean kinetic energy per mole of diatomic gas | (P) | \(\dfrac{3}{2}k_BT\) |
| (B) | mean transitional kinetic energy per molecule of a gas | (Q) | \(\dfrac{3}{2}RT\) |
| (C) | mean translational kinetic energy per mole of an ideal gas | (R) | \(\dfrac{5}{2}RT\) |
| (D) | mean rotational kinetic energy per molecule of diatomic gas | (S) | \(k_BT\) |
| 1. | A(P), B(R), C(S), D(Q) |
| 2. | A(R), B(Q), C(P), D(S) |
| 3. | A(R), B(S), C(Q), D(P) |
| 4. | A(R), B(P), C(Q), D(S) |
Subtopic: Kinetic Energy of an Ideal Gas |
67%
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