A spark$-$ignition engine working on the constant volume $($Otto$)$ cycle is proposed to have a compression ratio of $9$ while operating with a low temperature of $22C$ and a low pressure of $110$ kPa $.$ If the work output is to be $1000k\frac{J}{k}g,$ calculate:

a$.$ the ideal thermal efficiency

$(02$ marks$)$

b$.$ compare the calculated efficiency with the that of a carnot cycle

$(02$ marks$)$

Take $=1\mathrm{.}4$&$Cv=0\mathrm{.}718K\frac{J}{K}g.K$