PLEASE WRITE LEGIBLY AND CLEARLY, EXPLAIN STEPS, THANK YOU

$3.$ One kilogram of air as an ideal gas executes a Carnot power cycle having a thermal efficiency of $\backslash (60\backslash \%\backslash ).$ The heat transfer to the air during the isothermal expansion is $40$ kJ $.$ At the end of the isothermal expansion, the pressure is $5\mathrm{.}6$ bar and the volume is $\backslash (0\mathrm{.}3\backslash$mathrm$\{$~m$\}^\{3\}\backslash ).$ Determine

$($a$)$ the maximum and minimum temperatures for the cycle, in K $.$

$($b$)$ the pressure and volume at the beginning of the isothermal expansion in bar and $\backslash (\backslash$mathrm$\{$m$\}^\{3\}\backslash ),$ respectively.

$($c$)$ the work and heat transfer for each of the four processes, in kJ$.$

$($d$)$ Sketch the cycle on $\backslash ($ p$-$v $\backslash )$ coordinates.