Question $6$

$(8$ points$)$

A Carnot engine is being operated in a piston$-$cylinder device. The engine is running between $400$ K

and $1200$ K $.$ Initially, the engine is at $1200$ K and V$\_(1),$ at the end of isothermal heat addition, the

volume increases to V$\_(2)=3*$V$\_(1).$ Assume ideal gas behaviour.

aP$-$V diagram. Clearly indicates all the states and direction of the cycle

bQ$\_($in $)$ and Q$\_($out $)$ of the cycle. Assume there is $1$ kg mass of gas in the piston$-$cylinder

device.

$(4$ points$)$