A drum holds 200kg of water or 132kg of gasoline. Determine the density of gasoline in kg/m3.
Density is defined as mass per unit volume:
Density = mass / volume
To find the density of gasoline, we need to know the volume of 132 kg of gasoline. We can use the fact that the drum can hold either 200 kg of water or 132 kg of gasoline, so the volume of 132 kg of gasoline is the same as the volume of 200 kg of water.
The density of water is 1000 kg/m3 (at room temperature and atmospheric pressure), so the volume of 200 kg of water is:
volume = mass / density
volume = 200 kg / 1000 kg/m3
volume = 0.2 m3
Therefore, the volume of 132 kg of gasoline is also 0.2 m3.
Now we can calculate the density of gasoline:
Density = mass / volume
Density = 132 kg / 0.2 m3
Density = 660 kg/m3
Therefore, the density of gasoline is 660 kg/m3.
To determine the density of gasoline, we need to divide the mass of the gasoline by the volume it occupies.
Given:
Mass of gasoline = 132 kg
Now we need to find the volume of the gasoline.
The drum can hold 200 kg of water or 132 kg of gasoline. Since the mass of the gasoline is equal to the mass of the water, we can conclude that the volume of gasoline occupies the same volume as the water.
Density is defined as mass divided by volume.
Density = Mass / Volume
Density of gasoline = 132 kg / volume
Since the mass is given and the volume is the same as the water (which is equal to 200 kg), we can substitute the values:
Density of gasoline = 132 kg / 200 kg
Calculating this, we get:
Density of gasoline = 0.66 kg/kg
However, the density of a substance is usually expressed in units of kg/m^3.
Since the density of gasoline is expressed in terms of mass divided by mass, we can convert it to kg/m^3 by multiplying it by the density of water.
The density of water is approximately 1000 kg/m^3.
Density of gasoline = 0.66 kg/kg * 1000 kg/m^3
Calculating this, we get:
Density of gasoline = 660 kg/m^3
Therefore, the density of gasoline is 660 kg/m^3.
To determine the density of gasoline in kg/m^3, we need to calculate the mass per unit volume.
Density is defined as mass divided by volume:
Density (ρ) = Mass (m) / Volume (V)
From the given information, we know that the drum can hold 132 kg of gasoline. Therefore, the mass of gasoline (m) is 132 kg.
Now, to determine the volume (V), we can use the fact that the drum can also hold 200 kg of water. We know the density of water is approximately 1000 kg/m^3. Therefore, the volume of the drum (V) is:
Volume (V) = Mass (m) / Density (ρ) = 200 kg / 1000 kg/m^3 = 0.2 m^3
Now that we have the mass and volume, we can calculate the density of gasoline:
Density (ρ) = Mass (m) / Volume (V) = 132 kg / 0.2 m^3 = 660 kg/m^3
Therefore, the density of gasoline is 660 kg/m^3.