Can somone please explain how to do this problem:
How many cubic centimeters of olive oil have the same mass as 1.00L of gasoline? the density of gas is .66g/ml and olive oil is .92g/ml
Thank you for your help
How much does 1.00 L gasoline weigh? That will be mass = volume x density. Substitute 1000 mL for volume and 0.66 g/mL for density and solve for mass.
That's what you want the olive oil to weigh. So mass olive oil = volume x density. You know density and mass solve for volume in cc.
660.0
To solve this problem, you need to find the volume of olive oil that has the same mass as 1.00L of gasoline.
Step 1: Convert the given volume of gasoline from liters to cubic centimeters.
There are 1000 cubic centimeters (cc) in 1 L, so 1.00 L of gasoline is equal to 1000 cc.
Step 2: Determine the mass of 1.00L of gasoline using its density.
The density of gasoline is given as 0.66 g/ml.
Mass = Density x Volume
= 0.66 g/ml x 1000 cc
= 660 g
Therefore, 1.00L of gasoline has a mass of 660 grams.
Step 3: Convert the mass of gasoline to the volume of olive oil.
The density of olive oil is given as 0.92 g/ml.
Volume = Mass / Density
= 660 g / 0.92 g/ml
≈ 717.39 ml
Therefore, the volume of olive oil that has the same mass as 1.00L of gasoline is approximately 717.39 ml or 717.39 cubic centimeters.