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Homework Statement
A car has a performance of 10,705 miles per gallon. If the car is given 100 grams of ethanol (Standard Gravity = 0.789) and drive until the fuel runs out, how far with they go in meters?
Homework Equations
Standard Gravity = Density of the Object /Density of Water
Density = mass/ volume
Distance = Rate * Time traveled
The Attempt at a Solution
I solved for the density using the standard gravity formula and got 0.789g/cm3. I then plugged it into the equation for density and got
0.789g/cm3 = mass/10705mpg
The thing is none of this makes sense to me. I understand how to find the formula but how am I supposed to find distance only given the information? I would just convert miles per gallon to meters per gallon and then convert 100 grams to gallons, but how am I supposed to convert grams to gallons? Those are 2 totally different dimensions. I might just be thinking about this problem the wrong way, but right now I am not sure and any guidance would be greatly appreciated it. At first I didn't even understand why you needed specific gravity, but even using it to find the density is no use (I think) since I still get mass and not volume. Thanks in advance for any help.