Problem #$4-50$ points

Consider a piston$-$cylinder filled with air initially at $300$ K and an initial volume of $2$ m$3$ going through an expansion process so that the final volume is $\mathrm{.}6$ m$3.$ And the pressure outside the is $100$ kPa.

$1.$ Sketch a diagram to show the piston cylinder.

$2.$ Determine the work of expansion if the initial pressure is $500$ kPa, and the

expansion is a constant pressure process. $3.$ Write the first law of thermodynamics and determine the heat transfer required for the work output if the internal energy remains constant.