A fluid that is approximately inviscid and incompressible flows through a 3-m-long horizontal diffuser with a cross-sectional area, A, that increases according to the relation A(x) = XXXXXXXXXX5x 2 )...

A fluid that is approximately inviscid and incompressible flows through a 3-m-long horizontal diffuser with a cross-sectional area, A, that increases according to the relation A(x) = 0.1(1 + 0.5x 2 ) m2 , where x is the distance from the entrance of the diffuser in meters. The fluid has a density of 1100 kg/m3 , and under a particular steady-state condition, the pressure and velocity of the fluid at the entrance of the diffuser are 240 kPa and 2 m/s, respectively. (a) Determine an expression for the pressure in the diffuser as a function of x. (b) Determine an expression for the pressure gradient in the diffuser as a function of x.