One kmole of an ideal gas at $298$ K and $1$ bar is subjected to the following process:

$($i$)$ Compressed adiabatically to $10$ bar pressure

$($ii$)$ Heated at constant pressure to $623$ K

$($iii$)$Expanded at constant temperature to $1$ bar

$($iv$)$ Cooled at constant pressure to $298$ K

Calculate Q$,$ W$,\backslash$Delta U and $\backslash$Delta H for each step and for the entire path. Sketch the process on P$-$V diagram.

Data:

Cp$=29\mathrm{.}170$ kJ$/$kmol$.$K

Cv$=20\mathrm{.}856$ kJ$/$kmol$.$K