Chapter 1 Density and Relative density (Stability -I)

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  1. A rectangular tank measures 16mx15mx6m. How many tonnes of oil of RD 0.78 can it hold?
  2. A cylindrical tank of diameter 8m is 10m high.400t of oil of RD 0.9 is poured into it. Find the ullage, assuming π to be 3.1416.
  3. A tank of 2400m3 volume and 12 depth, has a vertical side and horizontal bottom. Find how many tonnes of oil of RD 0.7 it can hold, allowing 2% of the tank for the expansion .state the ullage of loading.
  4. A tank 10m deep has vertical sides .its bottom consist of triangle 12mx12mx10m. find the mass of oil (of RD0.800) to be loaded, allowing 3 % of the volume of oil loaded for expansion. State the ullage on completion of loading.
  5. A rectangular tank measuring 25mx 12m x8m has an ullage pipe projecting 0.3m above the tank top. find the mass of SW in the tank when the ullage is 3.3m.
  6. A rectangular tank measures 30mx 16mx 14m. It has an ullage pipe projecting 0.5m above its top. Oil of RD 0.78 is to be loaded. The pipeline leading from the refinery to the ship is 10km long and 40cm in diameter. At the time of completion, all the oil in pipeline has to be taken. find at what ullage the valve at the refinery end must be shut so that the final ullage in the ship’s tank would be 0.78m. State also, the mass of oil loaded finally. (Assume π to be 3.1416).
  7. A tank with a horizontal base and vertical sides is 10m deep and has rectangular trunkway 1m high. The volume of the tank alone is 8000m3 and that of the trunkway 500m3 . Find the ullage when 5320t of vegetable oil of RD 0.7 is loaded.
  8. A rectangular tank has a total depth of 21m and volume of 20600 m3, which includes of trunkway of depth 1m and volume 600m3. find the ullage when 16320 t of oil of RD 0.8 is loaded.
  9. A rectangular tank has a total depth of 10.5m and volume 8200m3, which include a trunkway of depth 0.5 m and volume 200m3 . find the mass of oil of oil of RD 0.8 loaded and the ullage, if 2% of the volume of the tank is left for expansion.
  10. A rectangular tank has a total depth of 21m and volume 10250m3 which include a trunkway of trunkway of depth 1m and volume 250m3. Oil of RD 0.9 is to be loaded for expansion. find the mass of oil to be loaded and the final ullage.

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