Final answer:
To solve the conversions and volume calculations related to gasoline tanks, we use unit conversion factors and formulas relating mass, volume, and density. The number of liters required to fill a gas tank depends on the size of the tank and the density of gasoline.
Step-by-step explanation:
The question pertains to the volume and mass calculations associated with a gasoline tank, including the conversions between different measurement units such as liters, gallons, and kilograms, all within the context of Chemistry and Physics applications. When calculating how many liters are required to fill a 12.0-gallon gas tank, we use the conversion factor that 1 gallon is approximately 3.79 liters. Therefore, to find the number of liters needed, multiply 12.0 gallons by 3.79.
To answer part (a) of question 6, given the mass of gasoline and its density, we can calculate the tank's depth by using the formula for volume (volume = mass/density), and then rearranging to find depth (depth = volume / (width * length)). Given that the mass of gasoline is 50.0 kg and its density is 0.75 kg/L, we can find the volume in liters and from there the depth in meters.
Question (c) inquires about the number of gallons of gasoline necessary to fill an automobile gas tank. The actual number would depend on the specific size of the vehicle's tank but can be calculated by identifying the volume of the tank in liters and then converting to gallons using the aforementioned conversion factor.