A $1\mathrm{.}00-$mol sample of an ideal monatomic gas is taken through the cycle shown in the figure. The process $\backslash ($ A $\backslash$rightarrow B $\backslash )$ is a reversible isothermal expansion where $\backslash ($ P$\_\{$A$\}=9\mathrm{.}0\backslash )$ atm, $\backslash ($ P$\_\{$B$\}=1\mathrm{.}0\backslash )$ atm, $\backslash ($ V$\_\{$A$\}=10\mathrm{.}0\backslash$mathrm$\{$~L$\}\backslash ),$ and $\backslash ($ V$\_\{$B$\}=90\mathrm{.}0\backslash$mathrm$\{$~L$\}\backslash ).$

$($a$)$ Calculate the net work done by the gas.

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kJ

$($b$)$ Calculate the energy added to the gas by heat.

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kJ

$($c$)$ Calculate the energy exhausted from the gas by heat.

$-\backslash ($ b $\backslash )$

Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kJ

$($d$)$ Calculate the efficiency of the cycle.

$100$

Your response differs from the correct answer by more than $100\backslash \%.\backslash \%$

$($e$)$ Explain how the efficiency compares with that of a Carnot engine operating between the same temperature extremes.