Question

A 42% sugar solution has a density of 1.1868 g/mL. How many pounds of sugar are...

A 42% sugar solution has a density of 1.1868 g/mL. How many pounds of sugar are required to make 5 gallons of this sugar solution?

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Answer #1

Given:

Sugar 42 %

Density = 1.1868 g/mL

Volume of sugar solution = 5 gallons

Solution:

Conversion of sugar solution to L

Volume in L = 5 gallons x 3.7854 L / 1 gallon

= 18.927 L

Conversion of volume in mL

= 18.927 L x 1000 mL / 1 L

= 18927.0 mL

We are given density of sugar solution.

Mass of sugar in 18927.0 mL = 18927.0 mL x 1.1868 g / mL

= 22462.56 g

Conversion of sugar to pounds

= 22462.56 g x 1 lb / 453.592 g

= 49.5215 lb

Answer : Mass of sugar in pound = 49.5 lb

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