Q. No.What is the maximum amount of work that can be extracted from \(200~\mathrm{cal}\) of heat energy?
| 1. | \( 280 \mathrm{~J} \) | 2. | \( 800 \mathrm{~J} \) |
| 3. | \( 420 \mathrm{~J} \) | 4. | \( 840 \mathrm{~J}\) |
Subtopic: First Law of Thermodynamics |
79%
Level 2: 60%+
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During an adiabatic process performed on a diatomic gas \(725\) J of work is done on the gas. The change in internal the energy of the gas is equal to:
1. \(495\) J
2. \(725\) J
3. \(225\) J
4. \(0\)
1. \(495\) J
2. \(725\) J
3. \(225\) J
4. \(0\)
Subtopic: First Law of Thermodynamics |
90%
Level 1: 80%+
JEE
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The initial volume of \(1\) mole of a monoatomic gas is \(2\) litres. It is expanded isothermally to a volume of \(6\) litres. Change in internal energy of the gas is:
1. \(2R\)
2. \(4R\)
3. \(R\)
4. \(0\)
1. \(2R\)
2. \(4R\)
3. \(R\)
4. \(0\)
Subtopic: First Law of Thermodynamics |
89%
Level 1: 80%+
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An electric heater supplies heat to a system at a rate of \(100~\text{W}.\) If the system performs work at a rate of \(75~\text{J/s}.\) At what rate is the internal energy increasing?
| 1. | \(20~\text{W}\) | 2. | \(25~\text{W}\) |
| 3. | \(29~\text{W}\) | 4. | \(27~\text{W}\) |
Subtopic: First Law of Thermodynamics |
89%
Level 1: 80%+
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In a thermodynamic process, the pressure of a fixed mass of a gas is changed in such a manner that the gas releases \(29\) J of heat and \(8\) J of work is done on the gas. If the initial internal energy of the gas was \(30~\text{J},\) what will be the final internal energy?
1. \(42\) J
2. \(12\) J
3. \(10\) J
4. \(9\) J
1. \(42\) J
2. \(12\) J
3. \(10\) J
4. \(9\) J
Subtopic: First Law of Thermodynamics |
89%
Level 1: 80%+
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Which fundamental law forms the foundation of the first law of thermodynamics?
| 1. | Law of conservation of energy |
| 2. | Law of conservation of mechanical energy |
| 3. | Law of conservation of gravitational energy |
| 4. | Law of conservation of momentum |
Subtopic: First Law of Thermodynamics |
89%
Level 1: 80%+
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\(1\) mole of rigid diatomic gas performs a work of \(\dfrac{Q}{5}\) when heat \(Q\) is supplied to it. Change in internal energy of the gas is:
| 1. | \(\dfrac{4Q}{5}\) | 2. | \(\dfrac{3Q}{5}\) |
| 3. | \(\dfrac{Q}{5}\) | 4. | \(\dfrac{2Q}{5}\) |
Subtopic: First Law of Thermodynamics |
88%
Level 1: 80%+
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For a system undergoing an isothermal process, heat energy is supplied to the system. Then,
Choose the correct option from the given ones:
| I. | Internal energy will increase. |
| II. | Internal energy will decrease. |
| III. | Work done by the system is positive. |
| IV. | Work done by the system is negative. |
| V. | Internal energy remains constant. |
Choose the correct option from the given ones:
| 1. | (I), (III), and (V) only | 2. | (II) and (IV) only |
| 3. | (III) and (V) only | 4. | (I), (IV), and (V) only |
Subtopic: First Law of Thermodynamics |
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Level 1: 80%+
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An ideal gas undergoes an isothermal process from some initial state \(i\) to the final state \(𝑓\).
Choose the correct alternatives:
| (a) | \(dU = 0 \) | (b) | \(dQ = 0\) |
| (c) | \(dQ = dU \) | (d) | \(dQ = dW\) |
| 1. | (a), (b), (c) | 2. | (a), (d) |
| 3. | (b), (c), (d) | 4. | (a), (c), (d) |
Subtopic: First Law of Thermodynamics |
86%
Level 1: 80%+
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If \(\Delta U\) and \(\Delta W\) represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?
| 1. | \(\Delta U=-\Delta W\), in an adiabatic process |
| 2. | \(\Delta U=\Delta W\) , in an isothermal process |
| 3. | \(\Delta U=\Delta W\), in an adiabatic process |
| 4. | \(\Delta U=-\Delta W\), in an isothermal process |
Subtopic: First Law of Thermodynamics |
83%
Level 1: 80%+
AIPMT - 2010
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