Answer:
1.24 gallons
Explanation:
So first, we need to determine the volume of milk if it were 5.00 kg.
Density is calculated by the formula:
[tex]D = \dfrac{M}{V}[/tex]
Where:
D = Density
M = Mass
V = Volume
The density of milk is 1.07 g/ml, and the mass given to us is kg. But as you can see, our units do not match. So what you need to do is first convert our units to match. Since we are already given the density as g/ml, then let's make kg match it by converting Kg to g.
We know that there are 1000 g in one Kg so we use that as our conversion factor.
[tex]5.00Kg\times \dfrac{1000g}{1Kg} = 5000g[/tex]
Now let's see what our volume would be:
[tex]\dfrac{1.07g}{1ml} = \dfrac{5000g}{V}\\\\V(1.07g) = 5000g(1ml)\\\\\dfrac{V(1.07g)}{1.07g} = \dfrac{5000g.ml}{1.07g}\\\\V = 4,672.90ml[/tex]
Now we need to convert it into gallons with what we know There are 0.946 liters in a quart, this means that there are 946 mL in a quart.
[tex]4,672.90ml\times \dfrac{1quart}{946ml} = 4.94 qt[/tex]
So there we convert quarts to gallon. There are 4 quarts in a gallon.
We then use that as for as a conversion factor:
[tex]4.94qt\times \dfrac{1 gal}{4qt} = 1.24 gallons[/tex]
