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8. A Panamax Oil Tanker can transport 500,000 barrels of crude oil per trip. The

ID: 700982 • Letter: 8

Question

8. A Panamax Oil Tanker can transport 500,000 barrels of crude oil per trip. The average gasoline tank truck can transport 10,000 gallons of gasoline. If it takes 5 tons of crude oil to produce one ton of gasoline, how many tank trucks of gasoline would be produced from the crude oil transported in one Panamax Oil Tanker. Specific gravities of crude oil and gasoline are 0.95 and 0.739, respectively. Density of water is 62.4 lb/ft 9. In 2010, Australia's annual coal exports were 290 million metric tons. This coal had to be transported from the mine to a sea port in open rail cars with an average carrying capacity of 240,000 lbm. If there is a limit of 120 cars per train, what is the minimum number of trips required annually to transport the exported coal?

Explanation / Answer

Ans 8

Density of crude oil = specific gravity x density of water

= 0.95 x 62.4 = 59.28 lb/ft3

Volume of crude oil

= 500,000 barrels/oil truck x (5.61ft3/1 barrel)

= 2805000 ft3/oil truck

Mass of oil = volume x density

= 2805000 ft3/truck x 59.28 lb/ft3

= 166280400 lb/oil truck x 0.0005ton/lb

= 83140.2 ton/oil truck

Density of gasoline = 0.739 x 62.4 = 46.1136 lb/ft3

Volume of gasoline

= 10000 gallon/ truck x (0.134ft3/1 gallon)

= 74626.86 ft3/truck

Mass of gasoline = volume x density

= 74626.86 ft3/truck x 46.1136 lb/ft3

= 3441313.43 lb/ truck x 0.0005ton/lb

= 1820.65 ton of gasoline /gasoline-truck

5 tons of oil produces = 1 ton of gasoline

83140.2 tons of oil produces = 83140.2/5

= 16628.04 ton of gasoline

Truck required = gasoline produced/mass of gasoline

= 16628.04 ton of gasoline / (1820.65 ton of gasoline /gasoline-truck)

= 9.13 = 10 truck of gasoline

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