A vessel contains two nonreactive gases: neon (monatomic) and oxygen (diatomic). The ratio of their partial pressures is \(3:2.\) The ratio of the number of molecules is:
(Atomic mass of Ne \(=20.2\) u, molecular mass of O2 \(=32.0\) u)
1. \(2:3\)
2. \(3:2\)
3. \(1:3\)
4. \(3:1\)
1. | \(0.397\) | 2. | \(0.937\) |
3. | \(0.947\) | 4. | \(1\) |
A flask contains argon and chlorine in the ratio of \(2:1\) by mass. The temperature of the mixture is \(27~^\circ\mathrm{C}\). The ratio of average kinetic energy per molecule of the molecules of the two gases is:
(Atomic mass of argon = \(39.9~\text{u}\); Molecular mass of chlorine = \(70.9~\text{u}\))
1. \(1:2\)
2. \(2:1\)
3. \(1:1\)
4. \(1:2\)
A flask contains argon and chlorine in the ratio of \(2:1\) by mass. The temperature of the mixture is \(27^{\circ}~\mathrm{C}\). The ratio of root mean square speed \(v_{rms}\) of the molecules of the two gases is: (Atomic mass of argon = \(39.9\) u; Molecular mass of chlorine = \(70.9\) u)
1. \(2.33\)
2. \(1.33\)
3. \(0.5\)
4. \(2\)
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. \(^{235} \mathrm{U} \mathrm{F}_{6}\)
2. \({}^{238} \mathrm{U} \mathrm{F}_{6}\)
3. Both will have the same average speed.
4. Data insufficient
When a molecule (or an elastic ball) hits a ( massive) wall, it rebounds with the same speed. When a ball hits a massive bat held firmly, the same thing happens. However, when the bat is moving towards the ball, the ball rebounds at a different speed. Does the ball move faster or slower?
1. faster
2. slower
3. The speed of the ball does not change
4. none of these
1. | \(379\) J | 2. | \(357\) J |
3. | \(457\) J | 4. | \(374\) J |
Match Column I and Column II and choose the correct match from the given choices.
Column I | Column II | ||
(A) | Root mean square speed of gas molecules | (P) | \(\dfrac13nm\bar v^2\) |
(B) | The pressure exerted by an ideal gas | (Q) | \( \sqrt{\dfrac{3 R T}{M}} \) |
(C) | The average kinetic energy of a molecule | (R) | \( \dfrac{5}{2} R T \) |
(D) | The total internal energy of a mole of a diatomic gas | (S) | \(\dfrac32k_BT\) |
(A) | (B) | (C) | (D) | |
1. | (Q) | (P) | (S) | (R) |
2. | (R) | (Q) | (P) | (S) |
3. | (R) | (P) | (S) | (Q) |
4. | (Q) | (R) | (S) | (P) |