A monatomic ideal gas expands from point $\backslash ($ A $\backslash )$ to point $\backslash ($ B $\backslash )$ along the path shown in the drawing. $($a$)$ Determine the work done by the gas. $($b$)$ The temperature of the gas at point $\backslash ($ A $\backslash )$ is $287$ K $.$ What is its temperature at point $\backslash ($ B $\backslash )?($c$)$ How much heat has been added or removed from the gas during the process?