1. | \(P_1>P_3>P_2 \) | 2. | \(P_2>P_1>P_3 \) |
3. | \( P_1>P_2>P_3\) | 4. | \(P_3 > P_2>P_1\) |
1. | \(100\%\) | 2. | \(200\%\) |
3. | \(300\%\) | 4. | \(50\%\) |
1. | \(\dfrac{4+3\gamma}{\gamma-1}\) | 2. | \(\dfrac{3+4\gamma}{\gamma-1}\) |
3. | \(\dfrac{4-3\gamma}{\gamma-1}\) | 4. | \(\dfrac{3-4\gamma}{\gamma-1}\) |
1. | \(223~\text{K}\) | 2. | \(669^\circ \text{C}\) |
3. | \(3295^\circ \text{C}\) | 4. | \(3097~\text{K}\) |
The temperature at which the rms speed of atoms in neon gas is equal to the rms speed of hydrogen molecules at \(15^{\circ} \mathrm{C}\) is: (Atomic mass of neon \(=20.2\) u, molecular mass of hydrogen \(=2\) u)
1. | \(2.9\times10^{3}\) K | 2. | \(2.9\) K |
3. | \(0.15\times10^{3}\) K | 4. | \(0.29\times10^{3}\) K |
1. | all vessels contain unequal number of respective molecules. |
2. | the root mean square speed of molecules is same in all the 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. |
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) |