A long and thin slab of meat of $7\mathrm{.}5-$cm thick at $8$C is placed in an environment of $180$ C with a heat transfer coefficient of $95($W$)/($m$^(2)($K$)).$ The thermophysical properties of the meat may be assumed to same as those of water. Using the graphical method, determine $($a$)$ the surface temperature of the slab after $20$ minutes of heating and $($b$)$ heating time for the meat to reach a center temperature of $80$C $.$ Additionally, determine the corresponding amount to energy transferred per kilogram of meat after $20$ minutes of heating