$10\mathrm{.}4$ Consider an engine which compresses a stoichiometric gasoline fuel air mixture $($k $=1\mathrm{.}35)$ beginning at $300$ K$,$ P$=100$ kPa over a compression ratio of $8$:$1$ and then the mixture burns at constant volume.

A$.$ Find the temperature of the first mixture element burned right after it has burned.

B$.$ Find the temperature of the first mixture element burned at the end of the constant volume combustion process.

C$.$ Find the temperature of the last element of fuel after it has burned.