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.

Respuesta :

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.

[tex]\frac{g}{mL}=1.15\text{ }\frac{g}{mL}*\frac{3785.41\text{ }mL}{1\text{ }gal}=4353.22\text{ }\frac{g}{gal}[/tex]

3) Find the mass

[tex]Mass=Density*Volume[/tex][tex]Mass=4353.22\text{ }\frac{g}{gal}*2.31\text{ }gal[/tex][tex]Mass=10055.94\text{ }g[/tex]

4) Convert g to kg.

1000 g = 1 kg.

[tex]kg=10055.94\text{ }g*\frac{1\text{ }kg}{1000\text{ }g}=10.056\text{ }kg[/tex]

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