How many liters of cane juice is needed to supply 5g sucrose if cane juice contains 12% sucrose by mass and has a density of 1.12 g/mL?

Given parameters:

Mass of sucrose  = 5g

Density of sucrose  = 1.12g/mL

Percentage of sucrose per liter of cane juice  = 12%

Unknown:

Volume of cane juice needed = ?

We need to establish the volume - density relationship. Density is the mass of a substance per unit volume.

Mathematically;

                Density  =

Now solve for the volume of sucrose;

                  1.12g/mL =

       Volume  =    =  4.46mL   = 4.46 x 10⁻³L since 1000mL  = 1L

Since 12% of 1 liter of cane juice is sucrose;

                    12% of  x  liter of cane juice  = 4.46 x 10⁻³L

                   Volume of cane juice  = 4.46 x 10⁻³ x   = 0.037L

Volume of cane juice is  0.037L

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explanation: