$13.($a$)$ How much heat transfer is required to raise the temperature of a $0\mathrm{.}750-$kg aluminum pot containing $2\mathrm{.}50$ kg of water from $30\mathrm{.}0$ celsius to the boiling point and then boil away $0\mathrm{.}750$ kg of water? $($b$)$ How long does this take if the rate of heat transfer is $500$ W$1$ watt$=1$ joule$/$second $(1$ W $=1$ J$/$s$)?$