Q. No.\(100\) g water at \(20^\circ\text{C}\) is mixed with \(300\) g water at \(100^\circ\text{C}\) in a calorimeter. The mixture is now mixed again with \(400\) g water at \(10^\circ\text{C}.\) The final temperature of the mixture, assuming no loss of heat, is:
1. \(16^\circ\text{C}\)
2. \(30^\circ\text{C}\)
3. \(40^\circ\text{C}\)
4. \(45^\circ\text{C}\)
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| 1. | \(250^\circ\text{C}\) | 2. | \(350^\circ\text{C}\) |
| 3. | \(600^\circ\text{C}\) | 4. | \(800^\circ\text{C}\) |
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The first liquid has a mass flow rate \(\left(\dfrac{dm}{dt}\right)=r_1,\) and its temperature rises by \(\Delta\theta_1.\) For the second liquid, the flow rate \(\left(\dfrac{dm}{dt}\right)=r_2,\) and the temperature fall is \(\Delta\theta_2.\) The ratio of their specific heat capacities is:
| 1. | \(\dfrac{\Delta\theta_1}{\Delta\theta_2}\) | 2. | \(\dfrac{r_1}{r_2}\) |
| 3. | \(\dfrac{r_2\Delta\theta_2}{r_1\Delta\theta_1}\) | 4. | \(\dfrac{r_2\Delta\theta_1}{r_1\Delta\theta_2}\) |
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1. \(600^{\circ} \text{C}\)
2. \(620^{\circ} \text{C}\)
3. \(680^{\circ} \text{C}\)
4. \(520^{\circ} \text{C}\)
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1. \(40\) g
2. \(90\) g
3. \(310\) g
4. \(360\) g
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1. \(40~^\circ\text C\)
2. \(50~^\circ\text C\)
3. \(60~^\circ\text C\)
4. \(45~^\circ\text C\)
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| 1. | joule/m3 | 2. | joule/kelvin |
| 3. | joule/kg-m3 | 4. | joule/kelvin-m3 |
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| 1. | \(Q_A=1.1Q_B\) |
| 2. | \(Q_A>1.1Q_B\) |
| 3. | \(Q_A<1.1Q_B~\text{but}~Q_A>Q_B\) |
| 4. | \(Q_A=Q_B \) |
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1. \(500^\circ\text C\)
2. \(5000^\circ\text C\)
3. \(2500^\circ\text C\)
4. \(50^\circ\text C\)
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1. \(25^\circ\text C\)
2. \(50^\circ\text C\)
3. \(100^\circ\text C\)
4. \(75^\circ\text C\)
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