A sphere of \(0.047\) kg aluminium is placed for sufficient time in a vessel containing boiling water so that the sphere is at \(100^{\circ}\text{C}\). It is then immediately transferred to a \(0.14\) kg copper calorimeter containing \(0.25\) kg water at \(20^{\circ}\text{C}\). The temperature of water rises and attains a steady-state at \(23^{\circ}\text{C}\). The specific heat capacity of aluminium is: 
(Given that: Specific heat capacity of copper calorimeter \(= 0.386\times 10^{3}~\text{J kg}^{-1}\text{K}^{-1}\) and the specific heat capacity of water \(s_w= 4.18\times 10^{3}~\text{J kg}^{-1}\text{K}^{-1})\)
1. \(1.811~\text{kJ kg}^{-1}\text{K}^{-1}\)
2. \(1.911~\text{kJ kg}^{-1}\text{K}^{-1}\)
3. \(0.811~\text{kJ kg}^{-1}\text{K}^{-1}\)
4. \(0.911~\text{kJ kg}^{-1}\text{K}^{-1}\)

When \(0.15\) kg of ice at \(0^\circ \text{C}\) is mixed with \(0.30\) kg of water at \(50^\circ \text{C}\) in a container, the resulting temperature is \(6.7^\circ \text{C}.\)
The heat of fusion of ice is: (\(S_{\text{water}}=4186\) J kg^–1 K^–1)
1. \( 3.43 \times 10^4\) Jkg^–1
2. \( 3.34 \times 10^4\) Jkg^–1
3. \( 3.34 \times 10^5\) Jkg^–1
4. \(4.34 \times 10^5\) Jkg^–1