A pump is used to fill up a rectangular tank with liquidmethanol solution (density 900 kg/m3 and dynamicviscosity 1.20 x 10-3 Ns/m2) through a 2.5inch diameter pipe. The tank is 1.4 m wide, 1.6 m long and 1.2 mdeep.
1. Estimate the volumetric flow rate (m3/s) in thepipe if the pump can move the methanol at a rate of 80.6 L/minthrough this pipe.
2. Estimate the average velocity in the pipe (m/s) if the pumpmoves the methanol at a rate of 1.01 x 10-3m3/s.
3. Estimate the mass flow rate (kg/s) in the pipe if the pumpmoves the methanol at a rate of 1.69 x 10-3m3/s.
4. Estimate the time to fill the tank in minutes if the pumpmoves the methanol at a rate of 1.10 x 10-3m3/s.
5. Estimate the total mass (kg) of Methanol in the fulltank.
6. Estimate the Reynolds number of the flow in in the pipe ifthe average velocity in the pipe is 0.84 m/s