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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 |
 77%
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. \(0\)
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. \(0\)
Subtopic:  First Law of Thermodynamics |
 89%
Level 1: 80%+
JEE
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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
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 |
 90%
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,
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 |
 86%
Level 1: 80%+
JEE
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An ideal gas undergoes an isothermal process from some initial state \(i\) to the final state \(𝑓\).
(a) \(dU = 0 \) (b) \(dQ = 0\)
(c) \(dQ = dU \) (d) \(dQ = dW\)

Choose the correct alternatives:

1. (a), (b), (c) 2. (a), (d)
3. (b), (c), (d) 4. (a), (c), (d)
Subtopic:  First Law of Thermodynamics |
 85%
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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