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

$Cp$ juice $=393\frac{J}{m}ol.K$

Density juice $(p)=1050k\frac{g}{m^{{?}^{{?}^{?}}}}3$