Question

How many molecules of table sugar are contained in a 2 pound bag of sugar

Answer 1

1.59 × 10²⁴ molecules

Step-by-step explanation:

Step 1: Convert the mass to grams

We will use the relationship 1 lb = 453.59 g.

2 lb × (453.59 g/1 lb) = 907.18 g

Step 2: Calculate the moles corresponding to 907.18 grams of sucrose (table sugar)

The molar mass of sucrose is 342.3 g/mol.

907.18 g × (1 mol/342.3 g) = 2.65 mol

Step 3: Calculate the molecules in 2.65 moles of sucrose

We will use Avogadro's number: there are 6.02 × 10²³ molecules of sucrose in 1 mole of sucrose.

2.65 mol × (6.02 × 10²³ molecules/1 mol) = 1.59 × 10²⁴ molecules