Below is a PV diagram showing a cyclic process for $0\mathrm{.}0040$ moles of an ideal monatomic gas. The direction of the cycle is shown by the arrows on the curve. The temperature does NOT change along segment ac $-$ the process is isothermal from point a to point c $.$ The other $2$ sections of curve are graphically vertical and horizontal.

$($a$)$ What volume does the gas occupy at point a$?$

$($b$)$ What is the temperature at points $a,b$ and $c?$

For parts $($c$),($d$)$ and $($e$)$ below, indicate whether the heat $Q$ has gone into or out of the gas by referring to the sign, positive or negative, of your answer.

$($c$)$ How much heat went into or out of the gas during segment ba$?$

$($d$)$ How much heat went into or out of the gas during segment cb$?$

$($e$)$ How much heat went into or out of the gas during segment ac$?$

For parts $($ f $),(g)$ and $($ h $)$ below, indicate whether the change in internal energy $E_{\text{i}\text{n}\text{t}}=U$ is positive or negative by referring to the sign of your answer.

$($f$)$ Find the change in internal energy $U$ during segment ba$.$

$($g$)$ Find the change in internal energy $U$ during segment cb $.$

$($h$)$ Find the change in internal energy $U$ during segment ac$.$