- 1(current)
Q. No.A fixed mass of an ideal gas is allowed to undergo a thermodynamic process which carries it from an equilibrium state \((X)\) to another state \((Y).\) Four different quantities are monitored: the heat supplied to the gas \((Q),\) the work done by it \((W),\) the change in its internal energy \((\Delta U),\) and the change in its entropy \((\Delta S)\) defined by,
\(\Delta S=\int^Y_X\dfrac{dQ_{\text{rev}}}{T},\)
where \(dQ_{\text{rev}}\) is the heat supplied to the gas in a reversible process at temperature \(T.\) These are mentioned in Column I. Their dependencies & units are mentioned in Columns II & III respectively. Match them.
\(\Delta S=\int^Y_X\dfrac{dQ_{\text{rev}}}{T},\)
where \(dQ_{\text{rev}}\) is the heat supplied to the gas in a reversible process at temperature \(T.\) These are mentioned in Column I. Their dependencies & units are mentioned in Columns II & III respectively. Match them.
| Column I | Column II | Column III | |||||
| (A) | Work done by the gas \((W)\) | (I) | depends on process | (P) | joule | ||
| (B) | Change in entropy of the gas \((\Delta S)\) | (II) | independent of process | (Q) | joule/kelvin | ||
| (C) | Change in internal energy of the gas \((\Delta U)\) | (R) | joule/kg/kelvin | ||||
| (D) | Heat supplied to the gas \((Q)\) | (S) | joule/kg | ||||
| 1. | \(\mathrm{A\text-II,P;B\text-I,S;C\text- II,P;D\text-II,P }\) |
| 2. | \(\mathrm{A\text-I,Q ;B\text- II,P;C\text-I,R;D\text-I,S}\) |
| 3. | \(\mathrm{A\text-I,P;B\text-II,Q;C\text-II,P;D\text-I,P}\) |
| 4. | \(\mathrm{A\text-II,P;B\text-I,Q;C\text-II,S;D\text-II,P}\) |
Subtopic: Â Second Law of Thermodynamics |
 87%
Level 1: 80%+
Hints
The lowest possible temperature is:
1. \(0^\circ\text{C}\)
2. \(0^\circ \text{F} \)
3. \(-173^\circ \text{C} \)
4. \(0 ~\text{K}\)
1. \(0^\circ\text{C}\)
2. \(0^\circ \text{F} \)
3. \(-173^\circ \text{C} \)
4. \(0 ~\text{K}\)
Subtopic: Â Second Law of Thermodynamics |
 79%
Level 2: 60%+
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Q. No.
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