Question $1)$

$-$ A $0\mathrm{.}5-$m$3$ rigid tank contains air initially at $1000$ kPa and $22$C$.$ Air at $2000$ kPa and $22$C is slowly added until the pressure reaches $1500$ kPa. Assume that the temperature in the tank does not change and that specific heats vary with temperature.

a$\}$What is the initial mass of air in the tank, in kg$?$ Round to three decimal places

b$)$What is the final mass of air in the tank, in kg$?$ Round to three decimal places.

c$)$How much heat was removed, in kJ$,$ to maintain the temperature, rounded to the nearest whole number

Question $2)$

Saturated liquid water at $100$ kPa enters a well$-$insulated pump and exits at $4$ MPa. Assume that the inlet and outlet temperatures are the same.

a$)$How much work, in kJ$/$kg$,$ is required? Report your answer to two decimal places using rounding.

Question $3)$

R$-134$a enters a compressor as a saturated vapor at $80$ kPa and exits at a pressure of $400$ kPa. If $44$ kJ$/$kg of work is required and $5$ kJ$/$kg of heat is lost to the surroundings

a$)$What is the outlet temperature. Round your answer to the nearest whole number.

Question $4)$

Hot air at $400$C and $150$ kPa is to be used to produce saturated steam at $200$C in an insulated, non$-$mixing heat exchanger. Water enters the heat exchanger at $20$C while the air leaves at $350$C$.$ The mass flow rate of air is $0\mathrm{.}8$ kg$/$s$,$ pressure drops are negligible, and specific heats for air are evaluated at the average air temperature.

a$)$What is the mass flow rate of water, in kg$/$s$.$ Report your answer to four decimal places using rounding.