Calculate the volume of gasoline, in liters, that you would add to your car's tank given that the density of gasoline is 0.66 g/mL and the mass of the gasoline is 1.2 kg.
mass = volume x density
Substitute and solve for volume.
If an auto gas tank holds 17.4 gallons, what is the volume in liters?
To calculate the volume of gasoline, we can use the formula:
Volume = Mass / Density
First, let's convert the mass of the gasoline from kilograms to grams since the given density is in grams per milliliter (g/mL). We know that 1 kilogram is equal to 1000 grams, so the mass of the gasoline is:
Mass = 1.2 kg * 1000 g/kg = 1200 g
Now, we can plug in the values into the formula:
Volume = 1200 g / 0.66 g/mL
To find the volume in liters, we need to convert the density from grams per milliliter to grams per liter. Since there are 1000 milliliters in a liter, the conversion factor is:
1 g/mL * 1000 mL/L = 1000 g/L
Using this conversion factor, we can rewrite the formula as:
Volume = 1200 g / (0.66 g/mL * 1000 g/L)
Simplifying the equation:
Volume = 1200 g / 660 g/L = 1.82 L
Therefore, the volume of gasoline that you would add to your car's tank is approximately 1.82 liters.