Question

QUESTION 3A glucose solution has a density of 1.15 grams per mL. What is the mass, in kilograms, of 2.31 gallons of this solution? Explain your answer.

Answer 1

1) List the known and unknown quantities.

Sample: Glucose.

Density: 1.15 g/mL.

Volume: 2.31 gal.

Mass: unknown (kg).

2) Convert mL to gal.

1 gal = 3785.41 mL.

`(g)/(mL)=1.15\text{ }(g)/(mL)*\frac{3785.41\text{ }mL}{1\text{ }gal}=4353.22\text{ }(g)/(gal)`

3) Find the mass

`Mass=Density*Volume`
`Mass=4353.22\text{ }(g)/(gal)*2.31\text{ }gal`
`Mass=10055.94\text{ }g`

4) Convert g to kg.

1000 g = 1 kg.

`kg=10055.94\text{ }g*\frac{1\text{ }kg}{1000\text{ }g}=10.056\text{ }kg`

The mass of 2.31 gal of glucose solution is 10.06 kg.