Steam can be used as an effective means to transfer heat to surrounding systems. We consider a radiator,

which is used to heat a greenhouse.

Steam enters the radiator at $p=1$atm and $T=120$ Centigrade $($stream $1).$ In order to avoid corrosion of the

radiator a second stream of liquid water containing a small amount of anti$-$corrosive substances is entering

the radiator as well. This stream $2$ enters with a rate of $5k\frac{g}{m}in$ and it is at $25C$ and $1$atm. Outlet stream $3$

is liquid water at $1$atm and $40$ Centigrade.

Calculate the amount of steam needed $($in $k\frac{g}{m}in)$ if the radiator transfers $1000kW$ to the greenhouse.

Pls$,$ include all required steps required for the solution of mass AND energy balance problems.