Mark the correct statement(s) of the following.

1. In the case of liquids, the boiling point increases with pressure for all liquids.
2. In the case of solids, the melting point decreases with pressure for all solids.
3. In the case of ice, the melting point decreases with pressure.
4. In the case of ice, the melting point increases with the pressure.

Subtopic:  Calorimetry |
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A piece of hot copper at \(100~^\circ \text{C}\) is plunged into a pond at \(30~^\circ \text{C}\). The copper cools down to \(30~^\circ \text{C}\) while the pond being huge stays at its initial temperature. Then:

1. the copper loses some entropy and the pond stays at the same entropy.
2. the copper loses some entropy and the pond gains exactly the same amount of entropy.
3. the copper loses entropy and the pond gains more than this amount of entropy.
4. both copper and the pond gain in entropy.
Subtopic:  Calorimetry |
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A calorimeter contains \(270\) g of ice at \(0^\circ\)C (specific latent heat \(80\) cal/g). Steam (specific latent heat \(540\) cal/g) at \(100^\circ\)C is continuously passed through it, and the excess steam is allowed to escape. Assume negligible loss of heat to the surroundings, except due to excess steam being allowed to escape. Also, ignore the heat capacity of the calorimeter. The final mass of water in the calorimeter is:
1. \(40\) g
2. \(90\) g
3. \(310\) g
4. \(360\) g
Subtopic:  Calorimetry |
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Two different liquids of the same mass are kept in two identical vessels which are placed in a freezer that extracts heat from them at the same rate causing each liquid to transform into a solid. The schematic figure below shows the temperature \(T\) versus time \(t\) plot for the two materials. We denote the specific heat in the liquid states to be \(C_{L_1}\) and \(C_{L_2}\) for materials \(1\) and \(2\) respectively and latent heats of fusion \(U_1\) and \(U_2\) respectively.
                   
Choose the correct option:
1. \(C_{L_1}>C_{L_2}~\text{and }U_1<U_2\)
2. \(C_{L_2}>C_{L_1}~\text{and }U_1<U_2\)
3. \(C_{L_1}<C_{L_2}~\text{and }U_1>U_2\)
4. \(C_{L_1}<C_{L_2}~\text{and }U_1<U_2\)
Subtopic:  Calorimetry |
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A thin paper cup filled with water does not catch fire when placed over a flame. This is because:

1. the water cuts off the oxygen supply to the paper cup
2. water is an excellent conductor of heat
3. the paper cup does not become appreciably hotter than the water it contains
4. the paper is a poor conductor of heat
Subtopic:  Calorimetry |
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