how much heat energy is required to convert $34\mathrm{.}9$ of solid ethanol at $-114\mathrm{.}5$C to gaseous ethanol at $175\mathrm{.}9$ C$.$ the molar of heat of fusion of ethanol is $4\mathrm{.}60$kj$/$mol and its molar heat of vaporization is $38\mathrm{.}56$ kj$/$mol$.$ ethanol has a normal melting point of $-114\mathrm{.}5$C and a normal boiling point of $78\mathrm{.}4$ C$.$ the specific heat capacity of the liquid ethanol is $2\mathrm{.}45$j$/$gC and that of gaseous ethanol is $1\mathrm{.}43$j$/$g