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Required information

A $2\mathrm{.}000-m^3$ rigid tank initially contains air at $100$ kPa and $22C.$ The tank is connected to a supply line through a valve. Alr is flowing in the supply line at $600$ kPa and $22C.$ The valve is opened, and air is allowed to enter the tank untill the pressure in the tank reaches the line pressure, at which point the valve is closed. A thermometer placed in the fank indicates that the air temperature at the final state is $77C.$ The gas constant of air is $0\mathrm{.}287$kPa$*\frac{m^3}{k}g*K.$ The properties of alr are

$b_m=205\mathrm{.}17k\frac{T}{1}le{m}_m{u}_1=210\mathrm{.}49k\frac{J}{k}g,$ and $u_2=250\mathrm{.}02k\frac{J}{k}g$

Determine the amount of heat transfer. $($Round the final answer to three decimal places.$)$

The amount of heat transfer Qout is $$ k$.$