Question

A particular brand of gasoline has a density of 0.737 g/ml at 25 ∘c. how many grams of this gasoline would fill a 13.4 gal tank

Answer 1

Given, the density of a particular brand of gasoline = 0.737 g/ml.

13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.

First we will convert 13.4 gallon to ml.

We know that 1 gallon = 3.78541 litre

And 1 litre = 1000 ml

So we can write 1 gallon = $(3.78541)(1000) ml$ = 3785.41 ml.

13.4 gallon = $(3785.41)(13.4)$ ml = 50724.494 ml.

Let's take there is x grams of gasoline

We know that density = (mass/ volume) = $\frac{x}{50724.494}$

So we can write,

$0.737 =\frac{x}{50724.494}$

To find x we will multiply both sides by 50724.494. we will get,

$(0.737)(50724.494) =(\frac{x}{50724.494}) (50724.494)$

$(0.737)(50724.494) = x$

$37383.95 = x$

So we have got the required answer.

Mass of gasoline = 37383.95 grams.