Question

a serving of a particular fruit dessert contains 20.0 g of sugar. if all the sugar is sucrose, c12h22o11, how many molecules of sugar are present in this serving?

Answer 1

Taking into account the definition of Avogadro's number and molar mass, 3.49334×10²² molecules of sucrose are present.

Definition of molar mass

The molar mass of substance is a property defined as its mass per unit quantity of substance, in other words, molar mass is the amount of mass that a substance contains in one mole.

Avogadro's Number

Avogadro's Number or Avogadro's Constant is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.

Molecules of sugar in this case

In first place, the molar mass of sucrose is 342 g/mole. So, you can apply the following rule of three: If by definition of molar mass 342 grams of the compound are contained in 1 mole, 20 grams of the compound are contained in how many moles?

$amount of moles=\frac{20 gramsx1 mole}{342 grams}$

amount of moles= 0.058 moles

Now, considering the Avogadro's number, you can apply the following rule of three: If 1 mole of the compound contains 6.023×10²³ molecules, 0.058 moles contains how many molecules?

amount of moleculas= (6.023×10²³ molecules × 0.058 moles)÷ 1 mole

amount of molecules= 3.49334×10²² molecules

Finally, 3.49334×10²² molecules of sucrose are present.

Learn more about

molar mass:

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Avogadro's Number:

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