Problem $1$:

Air expands through a turbine operating at steady state. At the inlet, $p_1=150lb\frac{f}{i}{n}^2,T_1=1400R,$ and at the exit, $p_2=14\mathrm{.}8lb\frac{f}{i}{n}^2,T_2=700R.$ The mass flow rate of air entering the turbine is $11l\frac{b}{s},$ and $65,000BT\frac{U}{h}r$ of energy is rejected by heat transfer. Neglecting kinetic and potential energy effects, determine the power developed, in hp$.$

Problem $2$:

Air enters a compressor operating at steady state with a pressure of $14\mathrm{.}7lb\frac{f}{i}{n}^2,$ a temperature of $80F,$ and a volumetric flow rate of $18f\frac{t^3}{s}.$ The air exits the compressor at a pressure of $90lb\frac{f}{i}{n}^2.$ The heat transfer from the compressor to its surroundings occurs at a rate of $9\mathrm{.}7BT\frac{U}{l}b$ of air flowing. The compressor power input is $90$ hp $.$ Neglecting kinetic and potential energy effects and modeling air as an ideal gas, determine the exit temperature, in $F.$

Problem $3$:

An air$-$conditioning system is shown in the figure, in which air flows over tubes carrying Refrigerant $134$a$.$ Air enters with a volumetric flow rate of $50\frac{m^3}{m}in$ at $32C,1$ bar and exits at $22C,0\mathrm{.}95$ bar.

Refrigerant enters the tubes at $5$ bar with a quality of $20\%$ and exits at $5$ bar, $20C.$ Ignoring heat transfer to the surroundings of the air$-$conditioning system, and neglecting the kinetic and potential energy effects, determine the following a steady state:

a$)$ The mass flow rate of the refrigerant, in $k\frac{g}{m}in$

b$)$ The rate of heat transfer, in $k\frac{J}{m}in,$ between the air and the refrigerant.

Assume air behaves as an ideal gas during the operation of the air$-$conditioning system.