if gasoline has a density of 0.65g/cm what would the mass of a 34 liter tankful of gasoline in kilograms and weight in pounds be? How would this formula be set up
mass = volume x density
mass = 0.65 g/cc x 34,000 cc = ?
Convert to kg by dividing by 1000.
For lbs, remember that 453.59 g = 1 lb.
Solve for mass in grams.
To find the mass of a tankful of gasoline in kilograms, we can use the formula:
Mass = Density × Volume
where the volume is given in liters and the density is given in grams per cubic centimeter (g/cm³). However, we need to convert the units to ensure they are consistent.
First, let's convert the volume from liters to cubic centimeters (cm³). There are 1000 cm³ in 1 liter, so:
Volume = 34 liters × 1000 cm³/liter = 34,000 cm³
Now, since the density is given in grams per cubic centimeter, we don't need to convert it.
The mass in grams can be calculated by multiplying the density and the volume:
Mass = Density × Volume = 0.65 g/cm³ × 34,000 cm³
To convert the mass from grams to kilograms, divide it by 1000:
Mass in kilograms = (0.65 g/cm³ × 34,000 cm³) / 1000 = 22.1 kg
So, the mass of a 34 liter tankful of gasoline is 22.1 kilograms.
To find the weight of the tankful of gasoline in pounds, we need to multiply the mass in kilograms by the conversion factor of 2.205 pounds per kilogram:
Weight in pounds = Mass in kilograms × 2.205 pounds/kilogram = 22.1 kg × 2.205 pounds/kg ≈ 48.72 pounds
Therefore, the weight of a 34 liter tankful of gasoline is approximately 48.72 pounds.