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