$1.$ Air enters a compressor operating at steady state at a pressure of $1$ bar $,$ a Temperature of $290$ K and a velocity of $\backslash (6\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ through an inlet with an area of $\backslash (0\mathrm{.}1\backslash$mathrm$\{$~m$\}^\{2\}\backslash ).$ At the exit the pressure is $7$ bar $,$ the temperature is $450$ K $,$ and the velocity is $\backslash (2\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ Heat transfer from the compressor to its surroundings occurs at a rate of $\backslash (180\backslash$mathrm$\{$~kJ$\}/\backslash$mathrm$\{$min$\}\backslash ).$ Assuming idea gas properties, calculate the compressor power requirement in kW$.$ Please cite your source for air property data.

$2.$ Refrigerant $134$a enters the throttling valve of a refrigeration cycle as saturated liquid at $0\mathrm{.}87$ MPa and is reduced in pressure to $0\mathrm{.}12$ MPa $.$ Determine the fraction of vapor and the temperature of the saturated mixture leaving the valve.