$.$A bag containing $0\backslash$deg C ice is much more effective in absorbing energy than one containing the same amount of $0\backslash$deg C water. $($a$)$ How much heat transfer is necessary to raise the temperature of $0\mathrm{.}800$ kg of water from $0\backslash$deg C to $30\mathrm{.}0\backslash$deg C$?($b$)$ How much heat transfer is required to first melt $0\mathrm{.}800$ kg of $0\backslash$deg C ice and then raise its temperature to $30\mathrm{.}0\backslash$deg C$?($c$)$ Explain how your answer supports the contention that the ice is more effective