A substance has a melting point of $20$ Celsius and a latent heat of fusion of $3\mathrm{.}5$x$10^4$ J$/$com$.$ The boiling point is $150$ Celsius and the latent heat of vaporization $7\mathrm{.}0$x$10^4$ J$/$kg at a pressure of $1\mathrm{.}0$ atm. The specific heats for the solid, liquid and gas phases are: $600$ J$/($kg K$),1000$ J$/($kg K$)$ and $400$ J $/($kg K$),$ respectively. The amount of heat supplied to $0\mathrm{.}4$ kg of the substance when it is cooled from $170$ Celsius to $88$ Celsius, at a pressure of $1\mathrm{.}0$ atm, is approximately what?