The Toyota Prius has an internal combustion engine that operates on the Atkinson cycle. The Atkinson cycle consists of the following thermodynamic processes:

$•$ Isentropic compression$$

$•$ Isochoric heat addition$$

$•$ Isentropic expansion$$

$•$ Isobaric heat rejection

A P$-$V plot of the Atkinson cycle is shown below:

Note that the expansion stroke $($V$4$V$3)$ is longer than the compression stroke. If the compression ratio is $9\mathrm{.}2$ and the expansion ratio is $13\mathrm{.}5,$ the temperature and pressure before compression are $300$ K and $100$ kPa respectively. Determine, to $3$ significant figures, the network produced by the engine in kJ$/$kg:

 

P 3. 2 1 4 V