an automobile gasoline tak holds 80 litres. Gasoline weighs 0.803 g/cm^3. what is the weight of the gasoline in a full tank? Give the answer in kilograms rounded off to the nearest tenth kilogram
To keep the units straight, convert L to cm^3. There are 1000 cm^3 in a liter, so the volume of the gas tank is (80 L) (1000 cm^3/L) = 80,000 cm^3.
m = pV
m = (0.803 g/cm^3) (80,000 cm^3) = 64,240 g or 64.2 kg
thanks Amy
or, just treat this as doing conversion from L to kg
80L * 1000cm^3/L * 0.803 g/cm^3 * 1kg/1000g = 64.24 kg
To find the weight of the gasoline in a full tank, we can use the formula:
Weight = Volume x Density
First, let's calculate the volume of gasoline in the tank. We know that the tank holds 80 litres of gasoline.
Next, we need to convert the density from grams per cubic centimeter (g/cm^3) to kilograms per litre (kg/L).
1 g/cm^3 = 1 kg/L
Now, let's calculate the weight of the gasoline using the formula:
Weight = 80 litres x (0.803 kg/L)
Weight = 64.24 kilograms
Rounding off to the nearest tenth kilogram, the weight of the gasoline in a full tank is approximately 64.2 kilograms.