To cool water for drinking during summer, (1 mathrm{~kg}) of ice at (-2^{circ} mathrm{C}) is mixed with

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To cool water for drinking during summer, \(1 \mathrm{~kg}\) of ice at \(-2^{\circ} \mathrm{C}\) is mixed with \(5 \mathrm{~kg}\) of water at \(27^{\circ} \mathrm{C}\) in an insulated container subjected to 1 bar atmospheric pressure. Calculate the change in temperature of water and the change in entropy of mixture. Take specific heat of ice as \(2.093 \mathrm{~kJ} / \mathrm{kg} \mathrm{K}\) and the latent heat of ice as \(335 \mathrm{~kJ} / \mathrm{kg}\). Specific heat of water is \(4.187 \mathrm{~kJ} / \mathrm{kg} \mathrm{K}\).

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