Problem $10\mathrm{.}036-$ Ideal otto cycle with variable specific heats

An ideal Otto cycle has a compression ratio of $8.$ At the beginning of the compression process, air is at $95$ kPa and $27$C$,$ and $800$ kJ$/$kg of heat is transferred to air during the constant$-$volume heat$-$addition process. Take into account the variation of specific heats with temperature. The gas constant of air is R $=0\mathrm{.}287$ kJ$/$kg$$K$.$

Problem $10\mathrm{.}036.$a $-$ State after heat addition in variable heat capacity ideal otto cycle

Determine the pressure and temperature at the end of the heat$-$addition process.

The pressure at the end of the heat$-$addition process is kPa.

The temperature at the end of the heat$-$addition process is K$.$