A drum holds 200kg of water or 132kg of gasoline. Determine the density of gasoline in kg/m3.
Density of water = 1000 kg/m3 (given)
Density of gasoline = Mass of gasoline/Volume of gasoline
Since the drum can hold 132kg of gasoline, the volume of gasoline it can hold can be calculated as follows:
Volume of gasoline = Mass of gasoline/Density of gasoline
Therefore, Density of gasoline = Mass of gasoline/Volume of gasoline
Volume of gasoline = 132 kg/Density of gasoline
Now, to find Density of gasoline, we need to substitute the above value of Volume of gasoline in the density formula:
Density of gasoline = Mass of gasoline/(132 kg/Density of gasoline)
Density of gasoline = (Mass of gasoline x Density of gasoline)/132 kg
Multiplying both sides by 132 kg, we get:
Density of gasoline x 132 kg = Mass of gasoline x Density of gasoline
Density of gasoline = (Mass of gasoline x Density of water)/Mass of water
Density of gasoline = (132 kg x 1000 kg/m3)/200 kg
Density of gasoline = 660 kg/m3
Therefore, the density of gasoline is 660 kg/m3.