Required information

An air$-$conditioning system involves the mixing of cold air and warm outdoor air before the mixture is routed to the conditioned room in steady operation. Cold air enters the mixing chamber at $7C$ and $105$ kPa at a rate of $0\mathrm{.}570\frac{m^3}{s}$ while warm air enters at $34C$ and $105$ kPa $.$ The air leaves the room at $24C.$ The ratio of the mass flow rates of the hot to cold airstreams is $1\mathrm{.}6.$ The gas constant of air is $R=0\mathrm{.}287$kPa$*\frac{m^3}{k}g*K.$ The enthalpies of air are obtained from air table $h_1=280\mathrm{.}13k\frac{J}{k}g,h_2=307\mathrm{.}23k\frac{J}{k}g,$ and $h_{rm}=297\mathrm{.}18k\frac{J}{k}g.$ Use data from the steam table.

Determine the rate of heat gain of the room.

The rate of heat gain of the room is $104\mathrm{.}600$

$\backslash$times kW$.($Round the final answer to three decimal places.$)$

Required information

An air$-$conditioning system involves the mixing of cold air and warm outdoor air before the mixture is routed to the conditioned room in steady operation. Cold air enters the mixing chamber at $7C$ and $105$ kPa at a rate of $0\mathrm{.}570\frac{m^3}{s}$ while warm air enters at $34C$ and $105$ kPa $.$ The air leaves the room at $24C.$ The ratio of the mass flow rates of the hot to cold airstreams is $1\mathrm{.}6.$ The gas constant of air is $R=0\mathrm{.}287$kPa$*\frac{m^3}{k}g*K.$ The enthalpies of air are obtained from air table $h_1=280\mathrm{.}13k\frac{J}{k}g,h_2=307\mathrm{.}23k\frac{J}{k}g,$ and $h_{rm}=297\mathrm{.}18k\frac{J}{k}g.$ Use data from the steam table.

Determine the rate of heat gain of the room.

The rate of heat gain of the room is $104\mathrm{.}600$

$\backslash$times kW$.($Round the final answer to three decimal places.$)$