If you have a tank of 51ft long by 4.7ft wide, and need to fill it to the two inch mark with hydrochloric acid, how many pounds are you putting in it? (Hint 1 gallon of acid weights 9.8 lbs.
To determine the weight of hydrochloric acid needed to fill the tank to the two-inch mark, we can follow these steps:
Step 1: Calculate the volume of the tank.
The volume of the tank can be calculated by multiplying its length, width, and height. However, the given dimensions only provide the length and width. To determine the height, we need to convert the two-inch mark to feet.
Since there are 12 inches in a foot, two inches is equal to 2/12 = 1/6 feet.
Therefore, the dimensions of the tank are:
Length = 51 ft
Width = 4.7 ft
Height = 1/6 ft
Step 2: Calculate the volume of the tank in cubic feet.
To find the volume, multiply the length, width, and height:
Volume = Length × Width × Height
Volume = 51 ft × 4.7 ft × 1/6 ft
Step 3: Convert the volume to gallons.
Since we know 1 cubic foot is equal to approximately 7.48052 gallons, we can use this conversion factor to convert the volume to gallons:
Volume (in gallons) = Volume (in cubic feet) × 7.48052
Step 4: Calculate the weight of the hydrochloric acid in pounds.
Given that 1 gallon of acid weighs 9.8 lbs, we can multiply the volume (in gallons) by the weight per gallon:
Weight (in pounds) = Volume (in gallons) × Weight per gallon
Let's calculate the total weight now:
1. Calculate the volume of the tank:
Volume = 51 ft × 4.7 ft × 1/6 ft
2. Convert the volume to gallons:
Volume (in gallons) = Volume (in cubic feet) × 7.48052
3. Calculate the weight of the hydrochloric acid in pounds:
Weight (in pounds) = Volume (in gallons) × Weight per gallon
Plug in the given values and solve the equations to find the weight of hydrochloric acid needed to fill the tank to the two-inch mark.