Can you can explain the proof of "the equation of continuity", in an easy-to-understand manner?Attached images are the proof my professor gave. I really do not understand all the simple v's , capital v's and all?Can you kindly explain it in an easy-to-understand manner?Thank you! The equation of continuity - Proof cont...The rate of outward mass flux across any small element dS of S isPY •dS; where the magnitude of dS is equal to the element's area andwe take dS along the outward normal.Integrating over the whole surface we have:ev. ds = v. (ov)dVRate of mass flux out of V =pv. dS =2(Here, we used Green's formula to convert to a volume integral) The equation of continuity - ProofConsider a volume V bounded by a surface S that is fixed in space.Then mass inside is given by J„ pdvaRate of decrease of mass in Va l, pdV = - | CP dv.1If mass is conserved, Eqn. 1 must equal to the total rate of massflux out of V.How do we calculate this?

Let us consider a volume V bounded by a surface S. So mass in a infinitesimal volume, dV is given…

Answered: the proof of "the equation of…