a high performance engine. you and your team are tasked with evaluating the parameters of a high$-$performance engine. the engine compresses the fuel$-$air mixture in the cylinder to make it ignite rather than igniting it with a spark plug. You are given the compression ratio for the cylinders in the engine, which is the ratio of the initial volume of the cylinder to the final volume of the cylinder: Vi:Vf$.$ assume that the fuel$-$gas mixture enters the cylinder at a temperature of $18$ degrees Celsius and that the gas behaves like an ideal gas with gamma$=7/5.($a$)$ if the compression ratio is $14\mathrm{.}3$:$1,$ what is the final temperature of the gas if the compression is adiabatic? $($b$)$ with everything else the same as in $($a$),$ what is the final temperature of the gas if the compression ratio is increased to $16\mathrm{.}1$:$1?($c$)$ everything else being the same, for which compression ratio do you think the engine runs more efficiently? give a qualitative argument for your answer.