How many cubic centimeters of olive oil have the same mass as 1.60 L of gasoline?
Density of gasoline: .66 g/ml
Density of olive oil: .92 g/ml
mass = volume x density
Substitute volume (1,600 mL) x density of gasoline to find mass, the
substitute into mass = volume x density and solve for volume olive oil. 1 mL = 1 cc.
To find out how many cubic centimeters of olive oil have the same mass as 1.60 L of gasoline, we need to compare their densities and quantities.
Step 1: Convert 1.60 L of gasoline to milliliters (ml)
1 L = 1000 ml
So, 1.60 L = 1.60 x 1000 ml = 1600 ml
Step 2: Calculate the mass of gasoline using its density
Mass = Density x Volume
Mass of gasoline = 0.66 g/ml x 1600 ml = 1056 g
Step 3: Calculate the volume of olive oil using its density and the mass of gasoline
Volume = Mass / Density
Volume of olive oil = 1056 g / 0.92 g/ml = 1147.83 ml
Therefore, 1147.83 cubic centimeters of olive oil have the same mass as 1.60 liters of gasoline.
To find out how many cubic centimeters (cm³) of olive oil have the same mass as 1.60 L of gasoline, we need to compare the densities of the two substances. The equation to use is:
Density = Mass / Volume
Let's first convert 1.60 L of gasoline to cubic centimeters.
1 L is equivalent to 1000 cm³, so 1.60 L is equal to 1.60 x 1000 cm³ = 1600 cm³.
Now, using the given densities, we can calculate the mass of 1.60 L of gasoline:
Density of gasoline = 0.66 g/ml
Volume of gasoline = 1600 cm³
Mass of gasoline = Density x Volume
= 0.66 g/ml x 1600 cm³
= 1056 g
Next, we can find the volume of olive oil that has the same mass as 1056 g.
Density of olive oil = 0.92 g/ml
Mass of olive oil = 1056 g
Volume of olive oil = Mass / Density
= 1056 g / 0.92 g/ml
= 1147.83 ml
Finally, we convert the volume of olive oil from milliliters to cubic centimeters:
1 ml is equal to 1 cm³, so the volume of olive oil in cm³ is also 1147.83 cm³.
Therefore, 1.60 L of gasoline has the same mass as 1147.83 cm³ of olive oil.