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Q. No.An ideal gas undergoes four different processes from the same initial state (figure). Four processes are adiabatic, isothermal, isobaric and isochoric. Out of \(1,\) \(2,\) \(3\) and \(4,\) which one is adiabatic?
| 1. | \(4\) | 2. | \(3\) |
| 3. | \(2\) | 4. | \(1\) |
Subtopic: Types of Processes |
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If an average person jogs, he produces \(14.5 \times10^3\) cal/min. This is removed by the evaporation of sweat. The amount of sweat evaporated per minute (assuming \(1\) kg requires \(580 \times10^3\) cal for evaporation) is:
| 1. | \(0.25\) kg | 2. | \(0.50\) kg |
| 3. | \(0.025\) kg | 4. | \(0.20\) kg |
Subtopic: First Law of Thermodynamics |
67%
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Consider the \((P\text-V)\) diagram for an ideal gas shown in the figure.
Out of the following diagrams, which figure represents the \((T\text-P)\) diagram?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Types of Processes |
57%
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Three copper blocks of masses \(M_{1} , M_{2} \) and \(M_{3}~\text{kg}\) respectively are brought into thermal contact till they reach equilibrium. Before contact, they were at \(T_{1} , T_{2} , T_{3} \left(\right. T_{1} > T_{2} > T_{3} \left.\right).\) Assuming there is no heat loss to the surroundings, the equilibrium temperature \(T\) is:
(\(s\) is the specific heat of copper)
(\(s\) is the specific heat of copper)
| 1. | \(T = \dfrac{T_{1} + T_{2} + T_{3}}{3}\) |
| 2. | \(T = \dfrac{M_{1} T_{1} + M_{2} T_{2} + M_{3} T_{3}}{M_{1} + M_{2} + M_{3}}\) |
| 3. | \(T = \dfrac{M_{1} T_{1} + M_{2} T_{2} + M_{3} T_{3}}{3 \left(\right. M_{1} + M_{2} + M_{3} \left.\right)}\) |
| 4. | \(T = \dfrac{M_{1} T_{1} s + M_{2} T_{2} s + M_{3} T_{3} s}{M_{1} + M_{2} + M_{3}}\) |
Subtopic: First Law of Thermodynamics |
70%
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Which of the processes described below are irreversible?
Choose the correct alternative/s:
| (a) | The increase in temperature of an iron rod by hammering it. |
| (b) | A gas in a small container at a temperature \(T_1\) is brought in contact with a big reservoir at a higher temperature \(T_2\) which increases the temperature of the gas. |
| (c) | A quasi-static isothermal expansion of an ideal gas in a cylinder fitted with a frictionless piston. |
| (d) | An ideal gas is enclosed in a piston-cylinder arrangement with adiabatic walls. A weight \(w\) is added to the piston, resulting in the compression of gas. |
| 1. | (a), (b), (c) | 2. | (a), (d) |
| 3. | (b), (c), (d) | 4. | (a), (b), (d) |
Subtopic: Types of Processes |
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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 |
85%
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The figure shows the \((P\text-V)\) diagram of an ideal gas undergoing a change of state from \(A\) to \(B.\) Four different paths \(\mathrm{I, II, III}\) and \(\mathrm{IV},\) as shown in the figure, may lead to the same change of state.
| (a) | The change in internal energy is the same in cases \(\mathrm{IV}\) and \(\mathrm{III}\) but not in cases \(\mathrm{I}\) and \(\mathrm{II}.\) |
| (b) | The change in internal energy is the same in all four cases. |
| (c) | The work done is maximum in case \(\mathrm{I}.\) |
| (d) | The work done is minimum in case \(\mathrm{II}.\) |
Which of the following options contains only correct statements?
| 1. | (b), (c), (d) | 2. | (a), (d) |
| 3. | (b), (c) | 4. | (a), (c), (d) |
Subtopic: Work Done by a Gas |
80%
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Consider a cycle followed by an engine (figure).
1 to 2 is isothermal,
2 to 3 is adiabatic,
3 to 1 is adiabatic.
Such a process does not exist, because:
| (a) | heat is completely converted to mechanical energy in such a process, which is not possible. |
| (b) | In this process, mechanical energy is completely converted to heat, which is not possible. |
| (c) | curves representing two adiabatic processes don’t intersect. |
| (d) | curves representing an adiabatic process and an isothermal process don't intersect. |
Choose the correct alternatives:
| 1. | (a), (b) | 2. | (a), (c) |
| 3. | (b), (c) | 4. | (c), (d) |
Subtopic: First Law of Thermodynamics | Second Law of Thermodynamics |
56%
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