Q$1)(15$ points$)$ Steam enters a diffuser at $10$ kPa and $50C$ with a velocity of $300\frac{m}{s}$ and exits as saturated vapor at $50C$ and $70\frac{m}{s}.$ If the volume flow rate of steam is $210\frac{m^3}{s},$ determine the wasted work potential during this process. Assume the surroundings to be at $25C.$