Problem $2$: Combustion Process

The combustion in a gasoline engine may be approximated by a constant volume heat addition process. The conditions are $2\mathrm{.}00$ MPa and $460C$ before the combustion, and $1600C$ after it$.$ Determine the pressure at the end of the combustion process.

Given:

Initial pressure $($P$1)=2\mathrm{.}00$MPa$=2000$kPa

Initial temperature $($T$1)=460C=733\mathrm{.}15K$

Final temperature $(T2)=1600C=1873\mathrm{.}15K$

Adiabatic index $()=1\mathrm{.}4$

Units:

Pressure $($kPa$),$ Temperature $($K$)$