A fruit juice is pumped at a rate of $50$ dm$^3/$s to a tank $15$ m above using a pump. The energy required for the pump is obtained from a turbine. The inlet of a turbine is steam at $139\backslash$deg C degrees of superheat and $150$ kPa pressure. The turbine outlet is steam at $90\backslash$deg C degrees of superheat and $20$ kPa pressure.Calculate the volumetric flow rate of steam $($m$^3/$s$)$ at the turbine inlet.

Cp juice$=393$ J$/$mol$.$K

Density juice $($p$)=1050$ kg$/$m$^3$