How many cubic centimeters (cm 3 {\rm cm}^3) of olive oil have the same mass as 1.00L L of gasoline? (See the table (Figure 1) .)
To find the number of cubic centimeters (cm^3) of olive oil with the same mass as 1.00 liter (L) of gasoline, we need to use the density values for each substance.
Density is defined as mass per unit volume, so we can use the equation:
Density = Mass / Volume
First, we need to find the mass of gasoline. We are given the volume of gasoline as 1.00 L, but we need the density of gasoline to calculate its mass.
Using the table or figure provided, find the density of gasoline. Let's assume the density of gasoline is 0.72 g/cm^3.
We can convert the volume of gasoline from liters to cubic centimeters using the conversion factor: 1 L = 1000 cm^3.
So, 1.00 L of gasoline is equal to 1000 cm^3.
Now, we can calculate the mass of gasoline:
Mass of gasoline = Density of gasoline × Volume of gasoline
= 0.72 g/cm^3 × 1000 cm^3
= 720 g
Once we have the mass of gasoline, we can find the volume of olive oil that has the same mass.
Let's assume the density of olive oil is 0.92 g/cm^3.
Using the equation:
Density = Mass / Volume
We can rearrange the equation to solve for volume:
Volume = Mass / Density
Substituting the known values:
Volume of olive oil = Mass of gasoline / Density of olive oil
= 720 g / 0.92 g/cm^3
≈ 782.61 cm^3
Therefore, approximately 782.61 cubic centimeters (cm^3) of olive oil have the same mass as 1.00 liter (L) of gasoline.