Question

If the density of corn syrup is 1.380 g/ml and a sample of corn syrup has a mass of 32 grams, what is the volume of corn syrup, in liters?

Answer 1

Taking into account the definition of density, the volume of corn syrup is 0.023188 L.

Definition of density

But first you must know the definition of density. Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.

In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

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

Volume of corn syrup

In this case, you know that:

• Density= 1.380 $\frac{g}{mL}$
• Mass= 32 g

Replacing in the definition of density:

$1.380\frac{g}{mL} =\frac{32 g}{volume}$

Solving:

1.380 $\frac{g}{mL}$×volume= 32 g

volume= 32 g÷ 1.380 $\frac{g}{mL}$

volume= 23.188 mL= 0.023188 L (being 1000 mL= 1 L)

In summary, the volume of corn syrup is 0.023188 L.

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