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1 month ago

How many liters of cane juice is needed to supply 5g sucrose if cane juice contains 12% sucrose

Chemistry

1 answer:

alisha [2.8K]1 month ago

6 0

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 required =?

We need to understand the relationship between volume and density. Density represents mass per unit volume.

Mathematically;

Density = $\frac{mass}{volume}$

Now, calculate the volume of sucrose;

1.12g/mL = $\frac{5}{Volume}$

Volume = $\frac{5}{1.12}$ = 4.46mL = 4.46 x 10⁻³L since 1000mL = 1L

Since 12% of one 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 $\frac{100}{12}$ = 0.037L

Volume of cane juice needed is 0.037L

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Clarification:

Provided data

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