A venturi is a pipe-like device with a smooth internalconstriction, as shown below. Air flows (20 pts) through aparticular venturi, entering with know velocity (V~ ), temperature(T), and pressure (P). The venturi starts with a diameter (D), andconstricts to a smaller diameter (d). A small barometer-like tubeis attached to the venturi at its constriction, and filled with oilof known density (?oil). Answer the following questions about thissystem using the information in data table. (a) Compute the air’sdensity (?air) at the venturi inlet. Assume this density isconstant and known; it may be used in subsequent questions as such.(b) Develop an expression for the air pressure (Pd) at theventuri’s constriction using only the provided quantities. (c)Develop an expression for the expected oil column height (?z)resulting from the density variation. The oil at the base of thebarometer-like tube is also P?. (d) Numerically compute the oilcolumn height (?z) using the derived expressions. ParameterVariable Units Value Venturi diameter D m 0.15 Venturi diameter d m0.03 Air inlet velocity V m/s 9.3 Air inlet temperature T C 17.5Air inlet pressure P? kPa 103.0 Air constriction pressure Pd kPa -Air inlet density ?air kg/m3 - Air gas constant Rg J/kg·K 287.057Oil density ?oil kg/m3 780.0 Oil column height ?z m - Gravity g m/s2 9.81