Problem $1$: Find the change in volume and enthalpy for the adiabatic compression of an ideal

gas. Consider Neon as the ideal gas $($Polytropic$)$ undergoing compression from an initial

pressure of ${10}^8$ Pa to a final pressure of $2{10}^{5}Pa.$ The initial temperature is $293$ K $.$

$(2$ points$)$

Problem $2$: Consider a nozzle where steam from a boiler enters at $3\mathrm{.}5$ MPa and $450C.$ The

inlet velocity of the steam is $70\frac{m}{s}.$ The steam exits from the nozzle of $60c{m}^2$ area at $2$ MPa

and $300C.$ The heat loss from the nozzle is total $100$ kW $.$ Assuming negligible potential

energy variations through the nozzle, find the mass flow rate of the steam in $k\frac{g}{h}r,$ steam

velocity and the nozzle area at the exit.

$(4$ points$)$

Problem $3$: Consider a horizontal tube of constant diameter is used to move refrigerant $R-$

$134a$ at a constant velocity. The tube inlet and outlet temperatures are $60C($saturated$)$ and

$-18C$ respectively. What is the vapor quality at the exit of the tube?

$(2$ points$)$

Problem $4$: Your company has developed a novel heat engine. This engine receives $1$ MJ of

heat in each cycle and produces $410$ kJ of net work. The source and sink temperatures are $500$

K and $300$ K respectively. Is this an efficient heat engine design?

$(2$ points$)$