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Q. No.Water of mass \(m\) gram is slowly heated to increase the temperature from \(T_1\) to \(T_2 .\) The change in entropy of the water, given specific heat of water is \(1~{Jkg}^{-1} {~K}^{-1},\) is
1. Zero
2. \(m \ln \left(\dfrac{T_1}{T_2}\right)~~\)
3. \({m}\left({~T}_2-{T}_1\right) \)
4. \(m \ln \left(\dfrac{T_2}{T_1}\right) \)
1. Zero
2. \(m \ln \left(\dfrac{T_1}{T_2}\right)~~\)
3. \({m}\left({~T}_2-{T}_1\right) \)
4. \(m \ln \left(\dfrac{T_2}{T_1}\right) \)
Subtopic: Second Law of Thermodynamics |
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Level 2: 60%+
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A solid body of constant heat capacity \(1~\text{J/}^\circ \text{C}\) is being heated by keeping it in contact with reservoirs in two ways.
(i) Sequentially keeping in contact with \(2\) reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequentially keeping in contact with \(8\) reservoirs such that each reservoir supplies same amount of heat
In both cases, body is brought from the initial temperature \(100^\circ\text{C}\)
to the final temperature \(200^\circ\text{C}\). Entropy change of the body in the two cases respectively is:
1. \(\ln2,4 \ln2 \)
2. \(\ln 2, \ln 2 \)
3. \(\ln 2,2 \ln 2 \)
4. \(2 \ln 2,8 \ln 2\)
Subtopic: Second Law of Thermodynamics |
58%
Level 3: 35%-60%
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An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is \({S_1}\) and that of the other part is \({S_2}.\) Given that \({S_1 > S_2.}\) If the piston is removed then the total entropy of the system will be:
1. \(S_1\text - S_2 \)
2. \(\frac{S_1}{S_2} \)
3. \(S_1 \times S_2 \)
4. \(S_1+S_2\)
1. \(S_1\text - S_2 \)
2. \(\frac{S_1}{S_2} \)
3. \(S_1 \times S_2 \)
4. \(S_1+S_2\)
Subtopic: Second Law of Thermodynamics |
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Q. No.
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