A $\backslash (1\mathrm{.}00-\backslash$mathrm$\{$mol$\}\backslash )$ 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$\}=5\mathrm{.}0\backslash )$ atm, $\backslash ($ P$\_\{$B$\}=1\mathrm{.}0\backslash )$ atm, $\backslash ($ V$\_\{$A$\}=10\mathrm{.}0\backslash$mathrm$\{$~L$\}\backslash ),$ and $\backslash ($ V$\_\{$B$\}=50\mathrm{.}0\backslash$mathrm$\{$~L$\}\backslash ).$

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

$1$

Your response differs from the correct answer by more than $\backslash (10\backslash \%\backslash ).$ Double check your calculations. kJ

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

Your response differs from the correct answer by more than $\backslash (10\backslash \%\backslash ).$ Double check your calculations. kJ

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

The response you submitted has the wrong sign. kJ

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

Your response differs from the correct answer by more than $10\backslash \%.$ Double check your calculations.$\backslash \%$

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

The efficiency of the cycle is lower than that of a Carnot engine operating between the same temperature extremes because the Carnot engine is the most efficient theoretical cycle.