Q$22$ Consider a four stroke SI supercharged engine. The pressure ratio through

at the cemptessor of the supercharger is $1\mathrm{.}4$ and the isentropic efficiency of the

compressor is $80\%$ The scaveage efficiency during the first stage of intet;

process is $95\%.$ The engine compression ratio is $8$ and the cylinder bore and

streke ate $8$ cm and $10$ cm respectively. If the Trapping pressure $2$ bar and

the temperature of the residual gases is $500C$ calculate the cylinder contents

temperature ot the trapping sfate. Assume thet the pir temgersture increzses

by $45C$ as it flows throught the inlet manifold and the atmospherie pessore

and temperature are $1$ bar and $27C.$ State any assumptions used.

$(20$ marls$)$