Q. No.A gas based geyser heats water flowing at the rate of \(5.0\) litres per minute from \(27^{\circ}\text{C}\) to \(87^{\circ}\text{C}\).
The rate of consumption of the gas is:
(Take heat of combustion of gas = \(5.0\times 10^{4}~\text{J/g}\), specific heat capacity of water = \(4200~\text{J/kg}^{\circ}\text{C}\))
1. \(2.1\)
2. \(4.2\)
3. \(0.42\)
4. \(0.21\)
The rate of consumption of the gas is:
(Take heat of combustion of gas = \(5.0\times 10^{4}~\text{J/g}\), specific heat capacity of water = \(4200~\text{J/kg}^{\circ}\text{C}\))
1. \(2.1\)
2. \(4.2\)
3. \(0.42\)
4. \(0.21\)
Subtopic: Calorimetry |
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Density of water at \(4^\circ\text C\) and \(20^\circ\text C\) are \(1000 ~\text{kg/m}^3\) and respectively. The increase energy of \(4~\text{kg}\) water when it is heated from \(4^\circ\text C\) to \(20^\circ\text C\) is: (in J)
(Specific heat capacity of water \(=4.2 ~\text{J/kg}.\) and \(1\) atmospheric pressure \(= 10^5~\text{Pa}\))
1. \(315826.2\)
2. \(234699.2\)
3. \(258700.8\)
4. \(268799.2\)
(Specific heat capacity of water \(=4.2 ~\text{J/kg}.\) and \(1\) atmospheric pressure \(= 10^5~\text{Pa}\))
1. \(315826.2\)
2. \(234699.2\)
3. \(258700.8\)
4. \(268799.2\)
Subtopic: Calorimetry |
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Level 3: 35%-60%
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\(10~\text{kg}\) of ice at \(-10^\circ \text{C}\) is added to \(100~\text{kg}\) of water to lower its temperature from \(25^\circ \text {C}\). Consider no heat exchange to surroundings. The decrement to the temperature of water is: (in \(^\circ \text {C}\)) (Specific heat of ice = \(2100~\text{J/kg}^\circ\text{C}\) specific heat of water = \(4200~\text{J/kg}^\circ\text{C}\), latent heat of fusion of ice = \(3.36 \times 10^5 ~\text{J/Kg}\))
1. \(10\)
2. \(15\)
3. \(6.67\)
4. \(11.6\)
1. \(10\)
2. \(15\)
3. \(6.67\)
4. \(11.6\)
Subtopic: Calorimetry |
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Which of the following best represents the temperature versus heat supplied graph for water, in the range of \(-20^\circ \text C\) to \(120^\circ\text C\)?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Calorimetry |
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A gun fires a lead bullet of temperature \(300~\text K\) into a wooden block. The bullet having melting temperature of \(600~\text K\) penetrates into the block and melts down. if the total heat required for the process is \(625~\text J,\) then the mass of the bullet is grams.
(Latent heat of fusion of lead = \(2.5 × 104 ~\text { JKg}^{-1}\) and specific heat capacity of lead = \(125 \text { JKg}^{-1} \text {K}^{-1} )\)
1. \(15\)
2. \(10\)
3. \(5\)
4. \(20\)
(Latent heat of fusion of lead = \(2.5 × 104 ~\text { JKg}^{-1}\) and specific heat capacity of lead = \(125 \text { JKg}^{-1} \text {K}^{-1} )\)
1. \(15\)
2. \(10\)
3. \(5\)
4. \(20\)
Subtopic: Calorimetry |
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An amount of ice of mass \(10^{-3}~ \text {kg}\) and temperature \(10^\circ C\) is transformed to vapour of temperature \(110^ \circ C \) by applying heat. The total amount of work required for this conversion is,
(Take specific heat of ice = \(2100~ \text {JKg}^{-1} \text K^{-1}\)), specific heat of water = \(4180~ \text {JKg}^{-1} \text K^{-1}\), specific heat of steam = \(1920~ \text {JKg}^{-1} \text K^{-1}\),
Latent heat of ice = \(2.25\times 10^5~ \text {JKg}^{-1}\) and Latent heat of steam \(2.25 \times 10^6~ \text {JKg}^{-1}\))
1.\(3043~ \text J\)
2. \(3003~ \text J\)
3. \(3022~ \text J\)
4. \(3024~ \text J\)
(Take specific heat of ice = \(2100~ \text {JKg}^{-1} \text K^{-1}\)), specific heat of water = \(4180~ \text {JKg}^{-1} \text K^{-1}\), specific heat of steam = \(1920~ \text {JKg}^{-1} \text K^{-1}\),
Latent heat of ice = \(2.25\times 10^5~ \text {JKg}^{-1}\) and Latent heat of steam \(2.25 \times 10^6~ \text {JKg}^{-1}\))
1.\(3043~ \text J\)
2. \(3003~ \text J\)
3. \(3022~ \text J\)
4. \(3024~ \text J\)
Subtopic: Calorimetry |
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Ice initially at \(–10^\circ\text C\) is heated and converted to steam at \(100^\circ\text C\) using a constant power source. Which of the following graphs correctly represents the variation of temperature \((T)\) with time \((t)\) during this process?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Calorimetry |
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Level 1: 80%+
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A \(600~\text{g}\) sample of ice at \(-12^\circ\text{C}.\) is supplied with \(184~\text{kJ}\) of heat. The specific heat of ice is \(2222.3~\text{J/kg}^{\circ}\text{C},\) and the latent heat of fusion is \(336~\text{kJ/kg}^{-1}. \) Which of the following statements are correct?
Choose the correct answer from the options given below:
| (A) | The final temperature of the system is \(0^\circ \text{C}.\) |
| (B) | The final temperature of the system is greater than \(0^\circ \text{C}.\) |
| (C) | The system has a mixture of ice and water in a \(5 : 1\) ratio. |
| (D) | The system has a mixture of ice and water in a \(1 : 5\) ratio. |
| (E) | The system has water only. |
| 1. | (B) and (D) only |
| 2. | (A) and (D) only |
| 3. | (A) and (E) only |
| 4. | (A) and (C) only |
Subtopic: Calorimetry |
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A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to heat it, the initial speed of the bullet is: (Given, the initial temperature of the bullet = 127ºC, Melting point of the bullet = 327ºC,
Latent heat of fusion of lead = 2.5 × 104 J Kg–1, Specific heat capacity of lead = 125J/kg K)
1. 125 ms–1
2. 500 ms–1
3. 250 ms–1
4. 600 ms–1
Latent heat of fusion of lead = 2.5 × 104 J Kg–1, Specific heat capacity of lead = 125J/kg K)
1. 125 ms–1
2. 500 ms–1
3. 250 ms–1
4. 600 ms–1
Subtopic: Calorimetry |
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A geyser heats water flowing at a rate of 2.0 kg per minute from 30°C to 70°C. If the geyser operates on a gas burner, the rate of combustion of fuel will be:
[Heat of combustion = 8 × 103 Jg–1, specific heat of water = 4.2 Jg–1 °C–1]
1. 24 g min–1
2. 32 g min–1
3. 42 g min–1
4. 54 g min–1
[Heat of combustion = 8 × 103 Jg–1, specific heat of water = 4.2 Jg–1 °C–1]
1. 24 g min–1
2. 32 g min–1
3. 42 g min–1
4. 54 g min–1
Subtopic: Calorimetry |
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Level 2: 60%+
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