- 1(current)
Q. No.The same amount of heat is supplied to equimolar masses of hydrogen and helium, under constant pressure. The work done by the two gases, \(H_2\) and \(He,\) are \(W_1\) and \(W_2.\) Then:
| 1. | \(W_1>W_2\) |
| 2. | \(W_1<W_2\) |
| 3. | \(W_1=W_2\) |
| 4. | \(W_1\) and \(W_2\) cannot be compared unless the temperatures are known. |
Subtopic: Â Work Done by a Gas |
Level 3: 35%-60%
Hints
Two monoatomic gases \(A,B\) are taken in two parts of a vessel having equal volumes \(V_0.\) The gases are at the same pressure \(P_0\) but at temperature of \(300~\text K\) and \(600~\text K.\) There is a partition between the parts of the vessel. The partition is removed, and the gases are allowed to mix. The vessel, as a whole, is insulated. The final temperature of the system is:
1. \(450~\text K\)
2. \(400~\text K\)
3. \(500~\text K\)
4. \(550~\text K\)
1. \(450~\text K\)
2. \(400~\text K\)
3. \(500~\text K\)
4. \(550~\text K\)
Subtopic: Â Work Done by a Gas |
Level 3: 35%-60%
Hints
One mole of an ideal monoatomic gas undergoes a slow reversible process in which its density \((\rho)\) is inversely proportional to its absolute temperature \((T).\)
The temperature of the gas increases from \(300~\text K\) to \(400~\text K.\) The work done by the gas during the process is:
(\(R\text:\) universal gas constant)
1. zero
2. \(-100~R\)
3. \(100~R\)
4. \(50~R\)
The temperature of the gas increases from \(300~\text K\) to \(400~\text K.\) The work done by the gas during the process is:
(\(R\text:\) universal gas constant)
1. zero
2. \(-100~R\)
3. \(100~R\)
4. \(50~R\)
Subtopic: Â Work Done by a Gas |
 59%
Level 3: 35%-60%
Hints
An ideal monoatomic gas undergoes a reversible process in which it doubles in volume, the equation of the process being: \(pVT=\text{constant}.\)
The internal energy of the gas at the beginning of the process equals \(U_0.\) The work done by the gas equals:
The internal energy of the gas at the beginning of the process equals \(U_0.\) The work done by the gas equals:
| 1. | \(U_0\) | 2. | \({\Large\frac23}U_0\) |
| 3. | \(U_0\mathrm{ln}2\) | 4. | \({\Large\frac23}U_0\mathrm{ln}2\) |
Subtopic: Â Work Done by a Gas |
 57%
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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