Question 1. Plot the performance curves for the pump (dP vs. Q, Power vs. Q, efficiency vs. Q). What are the conditions at the Best Efficiency Point?\ \ Question 2. Assuming a smooth pipe wall, find the system curves for the 4 different pipe diameters under consideration. Plot these curves together with the pump curve (dP vs. Q).\ \ Question 3. For question 2, what are the estimated operating conditions for each pipe diameter? (dP, Q, efficiency, Power consumed by pump). Provide results in a table.\ \ Question 4. Your real goal with the pump is to move the highest volume of water while using the least amount of electricity. Which of your pipe options achieves this goal? By what % is it an improvement over the next best pipe diameter?\ \ Question 5. A functional form of efficiency for your design is how much potential energy you created in one hour divided by how much electrical energy you consumed in one hour. What is this functional efficiency as a %?\ \ Question 6. Repeat the analysis for pipes with a surface roughness of 1 mm. What is the functional efficiency for the best diameter pipe?