A liquid flows from a to b in a horizontal pipe line shown

Question

1. Find the change in temperature between stations (1) and (2) in terms of the quantities A₁, A₃, v₁, v₃, c_v, and θ. The internal energy is given by c_vT. The fluid is water and T₁ =T₃, P₁ = P₃.

2. A liquid flows from A to B in a horizontal pipe line shown at a rate of 3 ft³ /s with a friction loss of 0.45 ft of flowing fluid. For a pressure head at B of 24 in., what will be the pressure head at A?