6) A 3 cm orifice plate is placed within a 4 cm pipe in which methanol at 20 °C (SG 0.7884 and dynamic viscosity (μ) 0.5857 cP) is flowing through. If the flow rate passing through the pipe is 3.1 liters per second, determine the pressure difference that must be measured around the orifice plate. The discharge coefficient of the orifice can be calculated by:
Cd = 0.5959 + 0.0312(Re^0.75) / (82.5 - 0.18488(Re^0.75))
Where; β is the ratio of orifice diameter to pipe diameter and Re is the Reynolds number.