A $1$ kg$,$ square $0\mathrm{.}2$m$\backslash$times $0\mathrm{.}2$m$\backslash$times $0\mathrm{.}05$m pyrex pan is at room temperature, $20$C$.$ It is then

placed into an oven at $218$C$.$ Pyrex has an emissivity of $0\mathrm{.}9,$ a specific heat of $750$ J$/($kg$$K$),$

and a volume expansion coefficient of $9\backslash$times $106.$ Solid butter has a specific heat of $1\mathrm{.}4\backslash$times $103$ J$/($kg$$K$),$

a latent heat of fusion of $6\mathrm{.}0\backslash$times $104$ J$/$kg$,$ and a melting point of $35$C$.$ The specific heat of

liquid butter is $2\mathrm{.}4\backslash$times $103$ J$/($kg$$K$)$