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Q. No.In an experiment on the specific heat of a metal, a \(0.20~\text{kg}\) block of the metal at \(150^{\circ}\text{C}\) is dropped in a copper calorimeter (of water equivalent of \(0.025~\text{kg}\)) containing \(150~\text{cm}^{3}\) of water at \(27^{\circ}\text{C}.\) The final temperature is \(40^{\circ}\text{C}.\) The specific heat of the metal will be:
(the heat losses to the surroundings are negligible)
1. \(0 . 40 ~ \text{Jg}^{- 1} \text{K}^{- 1}\)
2. \(0 . 43 ~ \text{Jg}^{- 1} \text{K}^{- 1}\)
3. \(0 . 54 ~ \text{Jg}^{- 1} \text{K}^{- 1}\)
4. \(0 . 61 ~ \text{Jg}^{- 1} \text{K}^{- 1}\)
(Latent heat of ice is \(3.4 \times 10^5~\text{J/kg}\) and \(g=10~\text{N/kg}\))
| 1. | \(544~\text{km}\) | 2. | \(136~\text{km}\) |
| 3. | \(68~\text{km}\) | 4. | \(34~\text{km}\) |
One kilogram of ice at \(0^\circ \text{C}\) is mixed with one kilogram of water at \(80^\circ \text{C}.\) The final temperature of the mixture will be: (Take: Specific heat of water = \(4200~\text{J kg}^{-1}\text{K}^{-1},\) latent heat of ice\(=336~\text{kJ kg}^{-1}\))
| 1. | \(0^\circ \text{C}\) | 2. | \(50^\circ \text{C}\) |
| 3. | \(40^\circ \text{C}\) | 4. | \(60^\circ \text{C}\) |
[Take specific heat of water \(= 1~\text{cal g}^{-1}~^\circ\text{C}^{-1}\) and latent heat of steam \(= 540~\text{cal g}^{-1}\)]
| 1. | \(24~\text{g}\) | 2. | \(31.5~\text{g}\) |
| 3. | \(42.5~\text{g}\) | 4. | \(22.5~\text{g}\) |
A steel factory uses a power input of \(P\) watts to maintain \(M\) kg of iron in the molten state at its melting point. When the power supply is switched off, the iron solidifies completely in \(t\) seconds. Assuming that the rate of heat loss during solidification is equal to the power input required to maintain the molten iron at its melting point, what is the specific latent heat of fusion of iron?
1. \(\dfrac{2Pt}{M}\)
2. \(\dfrac{Pt}{2M}\)
3. \(\dfrac{Pt}{M}\)
4. \(\dfrac{PM}{t}\)
| Assertion (A): | In a pressure cooker the water is brought to a boil. The cooker is then removed from the stove. Now on removing the lid of the pressure cooker, the water starts boiling again. |
| Reason (R): | The impurities in water bring down its boiling point. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
What is the specific latent heat of evaporation of the liquid?
(Assume that no thermal energy is transferred to or from the surroundings, and no vapour condenses.)
1. \(12.5\) J/g
2. \(160\) J/g
3. \(3200\) J/g
4. \(800\) J/g
| 1. | \(\dfrac{4T}{5}\) | 2. | \(T\) |
| 3. | \(\dfrac{T}{2}\) | 4. | \(\dfrac{5T}{4}\) |
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