Derive an expression for \\\\beta , the volumetric quality, in terms of the mass quality x, and the specific\ volumes of the phases.\ 7) Derive an expression for flow quality (x) in terms of the density of different phases, slip ratio and\ void fraction.\ 8) Derive an expression for flow quality (x) in terms of the static quality and slip ratio.\ 9) Derive an expression for the slip ratio (S) in terms of \\\\alpha and \\\\beta only.\ 10) Derive an expression for the density of a two-phase mixture in terms of the density of different\ phases, slip ratio (S), and flow quality (x).