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Calculate the heat required to convert \( 3 \mathrm{~kg} \) of ice at \( -12^{\circ} \mathrm{C} \) kept in a calorimeter to steam at \( 100^{\circ} \mathrm{C} \) at atmospheric pressure. Given specific heat capacity of ice is \( 2100 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1} \), specific heat capacity of water is \( 4186 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1} \), latent heat of fusion of ice is \( 3.35 \times 10^{5} \mathrm{Jkg}^{-1} \) and latent heat of steam is \( 2.256 \times 10^{6} \mathrm{Jkg}^{-1} \)
(a) \( 8 \times 10^{4} \mathrm{~J} \)
(b) \( 9.1 \times 10^{6} \mathrm{~J} \)
(c) \( 4 \times 10^{3} \mathrm{~J} \)
(d) \( 7 \times 10^{6} \mathrm{~J} \)
(W)
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