The tanker truck shown below has a tare weight of 8798 pound

The tanker truck shown below has a tare weight of 8,798 pounds when weighed on the scales prior to filling up. After getting a full load of fuel (S.G. = 0.88) prior to going out to fuel up vehicles, the deuce & a half is weighed on the scales to ensure that it is not over the weight limit for the bridge. It weighs 14,305 pounds. What is the capacity of the tank on the truck?

a. 100 gallons

b. 500 gallons

c. 750 gallons

d. 1,000 gallons

(Based on the options above, what is the correct answer?)

Solution

The gross weight ( after it is filled up) of the deuce and a half ( M35 tanker) is 14305lbs. Its tare weight ( the weight of an empty vehicle or container ) is 8798lbs, so the weight of the Petroleum cargo it is carrying is 14305 – 8798 = 5507 lbs = 5507/ 2.20462 kgs. = 2479.36152 kgs. Since Petroleum has a specific gravity of 0.88 which means 1 liter weighs 0.88 kilograms, the volume of the Petroleum cargo is 2479.36152/0.88kgs = 2838.563809 liters = 2838.563809/ 3.78541 gallons = 749.8695807 gallons or 750 gallons ( on rounding off to the nearest whole number). Thus, the option c) ( 750 gallons) is the correct answer.

Note: 1 gallon = 3.78541liters and 1 kg= 2.20462 lbs.