During the compression stroke of a certain gasoline engine, the pressure increases from $1\mathrm{.}00$ atm to $21\mathrm{.}0$ atm. The process is adiabatic and the air$$fuel mixture behaves as a diatomic ideal gas.

$($a$)$ By what factor does the volume change?

Vfinal $=$

What is the relationship between pressure and volume for an adiabatic expansion$/$compression$?$ Vinitial

$($b$)$ By what factor does the temperature change?

Tfinal $=$ Tinitial

Assume the compression starts with $0\mathrm{.}016$ mole of gas at $29\mathrm{.}0$C$.$

$($c$)$ Find the value of Q that characterizes the process.

J

$($d$)$ Find the value of $$Eint that characterizes the process.

J

$($e$)$ Find the value of W that characterizes the process.

J