Orange juice with $12\%$ solids is being heated by direct steam injection using steam at a pressure of

$232\mathrm{.}1$ kPa. The product enters the heating system at $50$C at a rate of $100$ kg$/$min and is being heated

to $120$C$.$ The product specific heat is a function of composition as follows:

Cp $=$ Cpwater$($wwater$)+$ Cpsolids$($wsolids$)$

Heat capacity of water at $50$C is $4\mathrm{.}178$ kJ$/$kg$$C$,$ at $120$C $4\mathrm{.}232$ kJ$/$ kg$$C

Average heat capacity of solids $2\mathrm{.}161$ kJ$/$kg$$C

Determine the amount of steam and heat supplied by steam.