Find the final temperature and composition of the mixture of \( 1 \mathrm{~kg} \) of ice at \( -...

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Find the final temperature and composition of the mixture of \( 1 \mathrm{~kg} \) of ice at \( -10^{\circ} \mathrm{C} \) and \( 4.4 \mathrm{~kg} \) of water at \( 30^{\circ} \mathrm{C} \). Given that specific heat of water is \( 4200 \mathrm{~J} / \mathrm{kg}^{\circ} \mathrm{C} \) and that of ice is \( 2100 \mathrm{~J} / \mathrm{kg}^{\circ} \mathrm{C} \) and latent heat of fusion of ice is \( 3.36 \times 10^{5} \mathrm{~J} / \mathrm{kg} \).
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