When zinc melts at atmospheric pressure, the melting point is $420\backslash$deg deg C$,$ the density decreases from $7,138$ kg$/$m in the solid state to $6,500$ kg$/$m in the liquid state, and the latent heat of fusion is $7,322$ kJ$/$mol The molar table of zinc is $65\mathrm{.}38$ gr$/$mol$.$ Use the Clausius $-$ Clapeyron equation to determine the melting point of zinc at a pressure of $100$ atm.