Problems $1(10$ points$)$: Ideal Otto cycle with constant specific heats

A gasoline internal combustion engine can be modeled by an ideal Otto cycle that has a compression ratio of $8\mathrm{.}91.$ At the beginning of the compression process $($state $1),$ air is at $100$ kPa and $300$ K $.$ The heat transfer into the air during the constant$-$volume heat addition process $($state $2$ to $3)$ is $693\mathrm{.}08k\frac{J}{k}g.$ Note: Consider constant specific heats of air with temperature, and evaluate the specific heat and k at $300$ K $.$

$1($a$)$: Find the temperature in K before heat addition process;

A$)660$ K

B$)680$ K

C$)700$ K

D$)720$ K